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Articles 9391 - 9420 of 10317
Full-Text Articles in Physical Sciences and Mathematics
On The Semi-Markovian Random Walk Process With Reflecting And Delaying Barrriers, Selahatti̇n Maden
On The Semi-Markovian Random Walk Process With Reflecting And Delaying Barrriers, Selahatti̇n Maden
Turkish Journal of Mathematics
In this paper, a semi-Markovian random walk process X(t) with reflecting barrier on the zero-level and delaying barrier on the \beta(\beta>0 )-level and the first falling moment of the process into the delaying barrier, (\gamma), are considered. Some probability characteristics of \gamma , such as its distribution function, moment generating function and expected value are calculated.
Electrorheological Properties Of Suspensions Prepared From Polystyrene- Block- Polyisoprene Copolymer, Hali̇l İbrahi̇m Ünal, Yilmaz Yildirir, Mustafa Yavuz
Electrorheological Properties Of Suspensions Prepared From Polystyrene- Block- Polyisoprene Copolymer, Hali̇l İbrahi̇m Ünal, Yilmaz Yildirir, Mustafa Yavuz
Turkish Journal of Chemistry
Considerable scientific and industrial interest is currently being focused on a class of materials known as electrorheological (ER) fluids, which display remarkable rheological behaviour, being able to convert rapidly and repeatedly from a liquid to solid when an electric field (E) is applied or removed. In this article, the synthesis, characterization, partial hydrolysis and ER properties of polystyrene- block}-polyisoprene copolymer (COP) were investigated. The block copolymer was characterized by GPC, viscosity measurements, ^1 H-NMR and FTIR spectroscopies, particle size measurements, and elemental analysis. The polystyrene block of the copolymer was partially hydrolyzed by a series of chemical reactions and then …
Determination Of Hydrochlorothiazide And Enalapril Maleate In Tablet Formulations By Reversed-Phase Hplc, Idrees F. Al-Momani̇
Determination Of Hydrochlorothiazide And Enalapril Maleate In Tablet Formulations By Reversed-Phase Hplc, Idrees F. Al-Momani̇
Turkish Journal of Chemistry
A high-performance liquid chromatographic procedure is presented for the determination of hydrochlorothiazide (HCT) and enalapril maleate (EM) in pharmaceutical tablets. An aliquot of the sample is dissolved in 15% acetonitrile (ACN) containing thiophylline as an internal standard and chromatographed on a Supelcosil LC-8 (5 \mu m), (150 mm x 4.6 mm i.d.) column. The mobile phase was 3.0 mM tetrabutylammoniumhydrogen sulfate (TBAHS) in ACN/water/triethylamine (TEA), (14, 85.6, 6.4 V/V) adjusted to pH 4.1 by glacial acetic acid. The detection was at 220 nm. The method was tested for linearity, accuracy, recovery, and specificity.
Studies On The Thermal Decomposition Of Copper (Ii) Flouride Complexes With Various Amino Acids In Nitrogen Atmosphere, Muhammad Arif, Saeed-Ur Rehman, Muhammad Arshad, Khalid Masud, Nasima Arshad
Studies On The Thermal Decomposition Of Copper (Ii) Flouride Complexes With Various Amino Acids In Nitrogen Atmosphere, Muhammad Arif, Saeed-Ur Rehman, Muhammad Arshad, Khalid Masud, Nasima Arshad
Turkish Journal of Chemistry
Thermal decomposition reactions of various copper (II) fluoride complexes of the general type Cu (L) F.xH_2O (L= asparagine(asp), arginine (arg), methionine (meth) and proline (pro), x = 3 to 4) have been studied in nitrogen atmosphere using TG and DTA techniques. A possible mechanism of decomposition is suggested on the basis of the reactions of their pyrolysis. The residues obtained at the end of various decomposition processes were identified through IR spectrometry. The kinetic parameters such as energy of activation (E^o ) and order of reaction (n) were also determined.
Fluorimetric Detection Of Insulin In The Presence Of Eu(Iii) - {Pyridine - 2,6 - Dicarboxylate} Tris Complex, Elmas Gök, Serdar Ateş
Fluorimetric Detection Of Insulin In The Presence Of Eu(Iii) - {Pyridine - 2,6 - Dicarboxylate} Tris Complex, Elmas Gök, Serdar Ateş
Turkish Journal of Chemistry
Bovine insulin solutions (pH=9.3) have maximum absorption at 278 \pm 2 nm and an intrinsic emission at 305 nm when excited at 282 nm. The relative fluorescence intensities show linear dependence on its concentration: 10 \mug/mL< [Ins] < 200 \mug/mL. When Eu(PDA)_{3}^{3-} tris complex is added to these solutions, it has a hyperchromic effect at 278 nm absorption band of insulin, sensitizing the emission intensities of central Eu^{3+} metal ion of the complex at 590 and 615 nm, and simultaneously quenching the emission intensity of hormone at 305 nm. Stern-Volmer plots show that a mechanism of bimolecular quenching at 305 nm and sensitization at 615 nm are valid up to a mole ratio, R = [Eu(PDA)_{3}^{3-}]/[Ins] < 2.0. An intramolecular rather than an intermolecular energy transfer is proposed. An apparent binding constant, log K_{app}=4.70 \pm 0.13, is calculated for Ins-[Eu(PDA)_{3}^{3-}]_{2} type product, the presence of which may offer a new luminescence technique as a diagnostic tool and an alternative to radio-iodinated (^{131}I -) insulin. A simple, rapid and accurate quantitation of insulin is proposed by using a fixed concentration of Eu(PDA)_{3}^{3-}, and measuring its initial F_{0} at \lambda_{exc}/ \lambda_{em}=282/615 nm and the difference, \DeltaF after sensitization when \sim 100 microliters of insulin sample is added. The coefficient of variation (CV), the relative error and minimum detectable amount of bovine insulin hormone are found to be 3.0%, 1.2% and 7.3 \pm 0.2 \mug /mL respectively.
Analysis Of Polychlorinated Dibenzofurans (Pcdfs) Isomers In Soil Samples, Mustafa Pehli̇van, Erol Pehli̇van
Analysis Of Polychlorinated Dibenzofurans (Pcdfs) Isomers In Soil Samples, Mustafa Pehli̇van, Erol Pehli̇van
Turkish Journal of Chemistry
This study presents an analytical method for the separation of a series of polychlorinated dibenzofurans (PCDFs) emitted to the soil. PCDF contaminants were concentrated from soil samples and isolated from other materials by chromatographic methods and their quantitative determinations were performed by GC/MS (gas chromatography/mass spectroscopy).
Accumulation Of Heavy Metals In Freshwater Organisms: Assessment Of Toxic Interactions, Neylan Di̇ri̇lgen
Accumulation Of Heavy Metals In Freshwater Organisms: Assessment Of Toxic Interactions, Neylan Di̇ri̇lgen
Turkish Journal of Chemistry
Heavy metals are continuously released into the terrestrial environment by natural sources and human activities. The uptake and accumulation of heavy metals by plants promotes a mechanistic understanding of the biological significance of particular metal concentrations and distributions in biota. The toxicity of chromium, zinc, copper and cobalt ions and their binary mixtures are studied at varying test levels using duckweed as the test organism. The accumulation of metal ions are determined by atomic absorption spectroscopy. The type of toxic interactions in binary mixtures is assessed as `synergistic', `antagonistic' and `additive' by a statistical approach.
The Composition Of Essential Oils From Two Varieties Of Sideritis Erythrantha Var. Erythrantha And Var. Cedretorum, Nurhayat Tabanca, Neş'E Kirimer, K. Hüsnü Can Başer
The Composition Of Essential Oils From Two Varieties Of Sideritis Erythrantha Var. Erythrantha And Var. Cedretorum, Nurhayat Tabanca, Neş'E Kirimer, K. Hüsnü Can Başer
Turkish Journal of Chemistry
Water distilled essential oils from two varieties of Sideritis erythrantha: var. erythrantha} and var. cedretorum, both endemic in Turkey, were analysed by GC/MS. The main components were characterized as \alpha -pinene (16.3-19.5%) and sabinene (6.1- 10.4%) for var. erythrantha; myrcene (21.9-24.3%) and \alpha -pinene (11.4- 12.4%) for var. cedretorum.
Structural Studies Of Water-Soluble \Beta-Brominated Manganese Porphyrins: Stabilities Of Mntdcsppbr _{8} And Mntsppbr _{8} As Homogeneous And Supported Reagents Toward Hydrogen Peroxide And Sodium Hypochlorite, Hayretti̇n Türk, Hüseyi̇n Berber
Structural Studies Of Water-Soluble \Beta-Brominated Manganese Porphyrins: Stabilities Of Mntdcsppbr _{8} And Mntsppbr _{8} As Homogeneous And Supported Reagents Toward Hydrogen Peroxide And Sodium Hypochlorite, Hayretti̇n Türk, Hüseyi̇n Berber
Turkish Journal of Chemistry
This article describes the structural stabilities of [2,3,7,8,12,13,17,18-octabromo-5,10,15,20-tetrakis(2,6-dichloro-3-sulfonatophenyl)porphinato]manganese(III) X (where X = H_{2}O and/or OH^{-} , depending on pH) (MnTDCSPPBr_{8} ) and [2,3,7,8,12,13,17,18-octabromo-5,10,15,20-tetra(4-sulfonatophenyl)porphinato] manganese(III) X (where X = H_{2}O and/or OH^{-} , depending on pH) (MnTSPPBr_{8} ) toward H_{2}O_{2} and NaOCl at various pH's, I = 0.2 M and 30^oC. In addition, the structural stabilities of these manganese porphyrins were investigated when they were bound to quaternary ammonium containing supports, namely, hexadecyltrimethylammonium bromide (CTAB), 2,6-ionene, 2,10-ionene and a poly[(vinylbenzyl)trimethylammonium chloride] latex. In alkaline media, both manganese porphyrins degraded and precipitated even in the absence of both of the oxidants. In …
Incorporation Of Edta For The Elimination Of Metal Inhibitory Effects In An Amperometric Biosensor Based On Mushroom Tissue Polyphenol Oxidase, Arzum Erdem, Di̇lşat Özkan, Burcu Meri̇ç, Kağan Kerman, Mehmet Özsöz
Incorporation Of Edta For The Elimination Of Metal Inhibitory Effects In An Amperometric Biosensor Based On Mushroom Tissue Polyphenol Oxidase, Arzum Erdem, Di̇lşat Özkan, Burcu Meri̇ç, Kağan Kerman, Mehmet Özsöz
Turkish Journal of Chemistry
Enzyme based biosensors are highly selective devices which rely on the specific binding of the target analyte (the substrate) to the active-site regions of the enzyme. The enzymatic reaction between mushroom tissue polyphenol oxidase and its substrate phenol is coupled with the use of potassium ferrocyanide (K_{4}Fe(CN)_{6}) as the mediator in ammonia buffer solution (pH 8.80). The response of devices is often affected by the presence of inhibitors, which combine with the free enzyme in a manner that prevents substrate binding. The objective of this study is to describe an efficient and yet simple strategy to eliminate the interference of …
Evaluation Of Sample Pre-Treatment Procedures For The Determination Of Cr, Ni And V In Biological Matrices By Etaas, Jan Medved, Jana Kubova, Eva Chmielewska, Vladimir Stresko
Evaluation Of Sample Pre-Treatment Procedures For The Determination Of Cr, Ni And V In Biological Matrices By Etaas, Jan Medved, Jana Kubova, Eva Chmielewska, Vladimir Stresko
Turkish Journal of Chemistry
Electrothermal atomic absorption spectrometry (ETAAS) was applied for the determination of chromium, nickel and vanadium in biological materials (earthworms, feather, lucerne). Three different decomposition procedures of biological matrices are presented. The utilization of NH_4H_2PO_4, Mg(NO_3)_2 and Pd(NO_3)_2+ Mg(NO_3)_2 as chemical modifiers are investigated and compared. Optimal temperature conditions for the electrothermal determination of Cr, Ni and V are selected. Precision of the determination expressed as relative standard deviations for Cr, Ni and V varied from 6 to 22% . The detection limits are for Cr 8 \\mu g kg^{ - 1}, Ni 12 \\mu g kg^{ - 1}, and V …
Silver Recovery From Waste Photographic Films By Using Enzymatic Method, Nuri̇ Naki̇boğlu, Duygu Toscali, İhsan Yaşa
Silver Recovery From Waste Photographic Films By Using Enzymatic Method, Nuri̇ Naki̇boğlu, Duygu Toscali, İhsan Yaşa
Turkish Journal of Chemistry
A different enzymatic method was developed for stripping the silver from waste X-ray photographic films. The silver having purity of > 99% was recovered by smelting the obtained slurry in the presence of borax. Enzyme extract, obtained from Bacillus subtilis ATCC 6633 by modifying Horikoshi medium, was used for stripping the silver layer. The metal impurities (Al, Cd, Co, Cr, Cu, Fe, Mg, Mn, Ni, Pb and Sn) in the recovered silver were determined using the ICP-MS method. The results were compared those in with literature for high purity silver using the same method.
Oxidation Of Ethylenediaminetetraacetic Acid By N-Bromosuccinimide In Aqueous Alkaline Medium -- A Kinetic Study, S. K. Mavalangi, M. R. Kembhavi, S. T. Nandibewoor
Oxidation Of Ethylenediaminetetraacetic Acid By N-Bromosuccinimide In Aqueous Alkaline Medium -- A Kinetic Study, S. K. Mavalangi, M. R. Kembhavi, S. T. Nandibewoor
Turkish Journal of Chemistry
The kinetics of oxidation of ethylenediaminetetraacetic acid (EDTA) by N-bromosuccinimide (NBS) in aqueous alkaline media was investigated at 25°C. Analysis of the results showed the reaction is first -- order with respect to [NBS] and apparently less than unit order each with respect to [EDTA] and [alkali]. The influence of the reaction products, ionic strength, temperature effect and dielectric constant of the medium on the rate of reaction was studied. The proposed mechanism is consistent with the observed kinetics. The reaction constants involved in the mechanism were derived. There is a good agreement between the observed and calculated rate constants …
Electrooxidation Of Methanol And Formic Acid On Platinum Dispersed Polypyrrole Electrodes, İpek Beceri̇k, Fi̇gen Kadirgan
Electrooxidation Of Methanol And Formic Acid On Platinum Dispersed Polypyrrole Electrodes, İpek Beceri̇k, Fi̇gen Kadirgan
Turkish Journal of Chemistry
The present study was performed in order to investigate the electrocatalytic properties of platinum incorporated polypyrrole films for methanol and formic acid oxidations. The behaviour of this modified electrode was characterised in acidic media (0.1M HClO_4). The electrodes exhibited excellent long-term stability in this media. After the modification and optimisation, the electrocatalytic properties of polypyrrole-metal particles and kinetics of the oxidation reactions were interpreted with regard to fuel cell applications.
Propylene Dimerization Over Nickel-Ion Exchanged Zeolites In The Liquid Phase, Mina K. Munshieva
Propylene Dimerization Over Nickel-Ion Exchanged Zeolites In The Liquid Phase, Mina K. Munshieva
Turkish Journal of Chemistry
The possibility of the dimerization of propylene in the liquid phase over nickel-ion exchanged zeolites (Ni-zeolites) modified by treatment with AlEt_{2}Cl to provide enhanced activity is studied. In order to determine the influence of the crystalline structure of zeolites on their catalytic activity and the selection of the most active catalyst the zeolites of faujasite (NaX, NaY), eryonite and mordenite types with various structures and different cell sizes have been chosen. The samples of Ni-zeolites were prepared by ion exchange with nickel nitrate in a corresponding zeolite. The treatment of these zeolites with AlEt_{2}Cl leads to the formation of active …
Hydrothermal And Microwave Synthesis Of Boron Phosphate, Bpo_{4}, A. Baykal, Meral Kizilyalli, M. Toprak, R. Kniep
Hydrothermal And Microwave Synthesis Of Boron Phosphate, Bpo_{4}, A. Baykal, Meral Kizilyalli, M. Toprak, R. Kniep
Turkish Journal of Chemistry
BPO_4 was previously synthesized by the solid state reactions of (NH_4)_2HPO_4 and B_2O_3 at 1000 ^oC and was characterized by X-ray powder diffraction and IR methods. We have now succeeded in preparing BPO_4 from H_3BO_3 and P_2O_5 using hydrothermal synthesis by heating at 160 ^oC for 2 days and obtained a single phase product. We observed that a microwave-assisted synthesis takes only 3 to 5 minutes to transform a solid mixture of (NH_4)_2B_4O_7.4H_2O, and solid H_3PO_4 or B_2O_3 + P_2O_5 into the crystalline title compound. Its X-ray powder diffraction data and IR spectra were in good agreement with the literature …
Extensional Tectonics And The Geometry Of Related Macroscopic Structures: Field Evidence From The Gediz Detachment, Western Turkey, Hasan Sözbi̇li̇r
Extensional Tectonics And The Geometry Of Related Macroscopic Structures: Field Evidence From The Gediz Detachment, Western Turkey, Hasan Sözbi̇li̇r
Turkish Journal of Earth Sciences
The large-scale, low-angle Gediz detachment fault that constitutes the southern margin of the Gediz graben (also known as the Alaşehir graben) has macroscopic structures of extensional origin, such as folds and back-tilted strata. The folds were formed as antiformal and synformal structures with axes both parallel and perpendicular to the extensional direction in their footwalls and hanging-walls, respectively. An extension-parallel antiform-synform pair in the footwall of the Gediz detachment, namely the Oyukkıran antiform and the Keserler synform, are recognized south of Dereköy village (Salihli) on the southern margin of the Gediz graben. These are NE-trending domal and basinal structures with …
The Effect Of Phonon Drag Of Charge Carriers In In_{1 - X} Ga_{X} Sb, Sadiyar Ahmedoglu Zeynalov
The Effect Of Phonon Drag Of Charge Carriers In In_{1 - X} Ga_{X} Sb, Sadiyar Ahmedoglu Zeynalov
Turkish Journal of Physics
The temperature dependencies of the thermal power a_{0} and thermal conductivity \kappa in two samples of In_{1 - x} Ga_{x}Sb (x=0.65 and 0.45) doped by {Te\sim } 0.001 at\%, with electron concentration n = 5.9 \cdot 10^{16} and 1.3 \cdot 10^{17} cm^{ - 3} (at 100K), have been investigated. It is shown that in In_{0.35}Ga_{0.65}Sb a_{0} increases with decreasing T below 50K. At 14K a_{0} passes through maximum and it falls sharply with decreasing T. It is shown that the maximum value of a_{0} is in agreement with the maximum value of \kappa . In In_{0.55}Ga_{0.45}Sb, starting from T = …
On Qr-Submanifolds Of A Quaternionic Space Form, Bayram Şahi̇n
On Qr-Submanifolds Of A Quaternionic Space Form, Bayram Şahi̇n
Turkish Journal of Mathematics
In this paper, we investigate mixed QR-submanifolds in a quaternionic space form and pseudo umbilical QR-submanifold of a quaternionic space form under some additional condition. Finally we give a necessary condition for QR-submanifold of a quaternion Kaehler manifold such that \dim \upsilon ^{\perp }=1 to be a 3-quasi Sasakian Manifold.
The Verlinde Algebra Is Twisted Equivariant K-Theory, Daniel S. Freed
The Verlinde Algebra Is Twisted Equivariant K-Theory, Daniel S. Freed
Turkish Journal of Mathematics
The Verlinde algebra, which mathematically appears in the theory of loop groups and is related to moduli spaces of bundles over curves, turns out to be describable in terms of K-theory. This is a joint discovery with M. Hopkins and C. Teleman. Here we explain in heuristic terms how this fits naturally into ideas about the Chern-Simons topological field theory.
On The Expansions In Eigenfunctions Of Hill's Operator, Fi̇li̇z Aras, Gusei̇n Sh Gusei̇nov
On The Expansions In Eigenfunctions Of Hill's Operator, Fi̇li̇z Aras, Gusei̇n Sh Gusei̇nov
Turkish Journal of Mathematics
In this paper we show how one can deduce the Titchmarsh expansion formula in eigenfunctions of Hill's operator from the Gel'fand expansion formula.
Global Convergence For Discrete Dynamical Systems And Forward Neural Networks, Asuman G. Aksoy, Mario Martelli
Global Convergence For Discrete Dynamical Systems And Forward Neural Networks, Asuman G. Aksoy, Mario Martelli
Turkish Journal of Mathematics
Using a theoretical result regarding the global stability of discrete dynamical systems of lower triangular form, we establish convergence properties of forward neural networks when the neuron response functions fail to be continuous.
On Modified Baskakov Operators On Weighted Spaces, Nurhayat İspi̇r
On Modified Baskakov Operators On Weighted Spaces, Nurhayat İspi̇r
Turkish Journal of Mathematics
The author presents a modification of the Baskakov operator for the intervals [0,b_{n}], where b_{n} is an increasing sequence of positive numbers with either finite or infinite limit. Convergence properties of such an operator for continuous and differentiable functions in weighted space are established.
A General Fixed Point Theorem For Weakly Compatible Mappings In Compact Metric Spaces, Valeriu Popa
A General Fixed Point Theorem For Weakly Compatible Mappings In Compact Metric Spaces, Valeriu Popa
Turkish Journal of Mathematics
A general fixed point theorem for weakly compatible mappings satisfying an implicit relation in compact metric spaces is proved generalizing the results by [1],[3],[13],[14] and others.
Some Applications Of The Lattice Finite Representability In Spaces Of Measurable Functions, P. Gomez Palaci̇o, J. A. Lopez Molina, M. J. Rivera
Some Applications Of The Lattice Finite Representability In Spaces Of Measurable Functions, P. Gomez Palaci̇o, J. A. Lopez Molina, M. J. Rivera
Turkish Journal of Mathematics
We study the lattice finite representability of the Bochner space L_p(\mu_1,L_q(\mu_2)) in \ell_p{\ell_q}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L_{\infty}(\mu) and L_p(\mu_1,L_q(\mu_2)).
Absolutely Representing Systems Of Exponentials In The Spaces Of Infinitely-Differentiable Functions And Extendability In The Sense Of Whitney, Yu. F. Korobeinik
Absolutely Representing Systems Of Exponentials In The Spaces Of Infinitely-Differentiable Functions And Extendability In The Sense Of Whitney, Yu. F. Korobeinik
Turkish Journal of Mathematics
Let Q be a compactum in~\mathbb{R}^p, p\geqslant1, such that int Q\neq\varnothing and Q=\overline{ int Q}. Denote by C^{\infty}[Q] the space of functions from C^{\infty}( int Q) uniformly continuous in int Q together with all their partial derivatives. The conditions of the existence of absolutely representing systems of exponentials with purely imaginary exponents in the space C^{\infty}[Q] and some of its subspaces of Denjoy--Carleman type are investigated. It is also proved under rather general assumptions that there is no such absolutely representing systems in the space E(G)=\operatornamewithlimits{proj}\limits_ {\overleftarrow {Q\in \mathcal{F}_G}}E[Q] where G is an arbitrary open set in~\mathbb{R}^p, E[Q] is C^{\infty}[Q] …
L^P Boundedness Of A Class Of Singular Integral Operators With Rough Kernels, Ahmad Al-Salman, Hussain Al-Quassem
L^P Boundedness Of A Class Of Singular Integral Operators With Rough Kernels, Ahmad Al-Salman, Hussain Al-Quassem
Turkish Journal of Mathematics
In this paper, we study the L^p mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=\Phi ( y )y^'} where \Phi satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.
Sections Of Lefschetz Fibrations And Stein Fillings, Andras I. Stipsicz
Sections Of Lefschetz Fibrations And Stein Fillings, Andras I. Stipsicz
Turkish Journal of Mathematics
Using Eliashberg's theorem about Stein fillings of S^3 we prove that a section of a Lefschetz fibration over S^2 has nonnegative square. This observation, in particular, implies that the identity element 1\in \Gamma _g ^1 in the mapping class group of a genus-g surface with one boundary component cannot be written as a product of positive Dehn twists.
The Canonical Class Of A Symplectic Four Manifold, Ronald Fintushel, Ronald Stern
The Canonical Class Of A Symplectic Four Manifold, Ronald Fintushel, Ronald Stern
Turkish Journal of Mathematics
In this article we present examples of simply connected symplectic 4-manifolds X whose canonical classes are represented by complicated disjoint unions of symplectic submanifolds of X: Theorem. Given finite collections {g_i}, {m_i}, i=1,...,n, of positive integers, there is a minimal symplectic simply connected 4-manifold X whose canonical class is represented by a disjoint union of embedded symplectic surfaces K ~ S_{g_1,1} « ... « S_{g_1,m_1} « ... « S_{g_n,1} «... « S{g_n,m_n} where S_{g_i,j} is a surface of genus g_i. Furthermore, c_1^2(X) = c_h(X) - (2+ b) where b= S{i=1}^n m_i is the total number of connected components of the …
G-Bundles On Abelian Surfaces, Hyperk\"Aler Manifolds, And Stringy Hodge Numbers, Jim Bryan, Ron Donagi, Naichung Conan Leung
G-Bundles On Abelian Surfaces, Hyperk\"Aler Manifolds, And Stringy Hodge Numbers, Jim Bryan, Ron Donagi, Naichung Conan Leung
Turkish Journal of Mathematics
We study the moduli space M_{G} (A) of flat G-bundles on an Abelian surface A, where G is a compact, simple, simply connected, connected Lie group. Equivalently, M_{G} (A) is the (coarse) moduli space of s-equivalence classes of holomorphic semi-stable G^{\cnums }-bundles with trivial Chern classes. M_{G} (A) has the structure of a hyperk\"ahler orbifold. We show that when G is Sp(n) or SU (n), M_{G} (A) has a natural hyperk\"ahler desingularization which we exhibit as a moduli space of G^{\cnums }-bundles with an altered stability condition. In this way, we obtain the two known families of hyperk\"ahler manifolds, the …