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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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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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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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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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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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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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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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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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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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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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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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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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Positivity in Algebraic Geometry II

vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete;

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Mathematical Physics

groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to;

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From Calculus to Cohomology

manifolds. The last eleven chapters include Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, and;

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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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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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An Introduction to Vectors, Vector Operators and Vector Analysis

Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their;

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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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Vector Bundles and Their Applications

and give qualitative explanations for diverse mathematieal phenomena and patterns. From this point of view, the theory of veetor bundles;

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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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Ulrich Bundles

The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the;

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