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Helices and Vector Bundles

This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept;

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Cambridge Studies in Advanced Mathematics

-Grothendieck schemes of vector bundles are constructed, and Mumford's geometric invariant theory is succinctly treated. The second part centres on the;

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Lectures on Vector Bundles over Riemann Surfaces. (MN-6)

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.;

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Moduli of Vector Bundles

developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and;

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London Mathematical Society Lecture Note Series

of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as;

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Metric Structures in Differential Geometry

, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.;

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Collected Papers of C. S. Seshadri

personality of C.S. Seshadri. Table of Contents Volume 1: Vector Bundles and Invariant Theory Preface Curriculum Vitae of C S Seshadri;

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Flat Rank Two Vector Bundles on Genus Two Curves

isomonodromic foliation in the moduli space of vector bundles with $mathfrak sl_2$-connection over curves of genus 2 and prove the transversality of the;

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Fibre Bundles

gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds.;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences;

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Representations of Elementary Abelian P -groups and Vector Bundles

producing and examining vector bundles on projective space and their Chern classes. Extensive background material is provided, which will help the;

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Moduli Spaces and Vector Bundles

Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has;

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

moduli space of semistable holomorphic vector bundles, and to Hitchin's theory on Higgs bundles. The relationship between the notion of stability;

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The Geometry of Jet Bundles

introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used;

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Manifolds And Local Structures

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family;

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Moduli Spaces Of Stable Sheaves On Schemes

The notion of stability for algebraic vector bundles on curves was originally introduced by Mumford, and moduli spaces of semi-stable;

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Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths

, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and;

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Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths

, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and;

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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

of complex vector bundles, moduli of abelian varieties and theory of display, moduli of Fermat varieties and some topics on cubic threefolds. Among;

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Differential Geometry of Complex Vector Bundles

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also;

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Differential Geometry of Complex Vector Bundles

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also;

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Vector Bundles on Curves - New Directions

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from;

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Fundamentals of Advanced Mathematics V3

sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more

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London Mathematical Society Lecture Note Series

treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between;

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