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Cambridge Studies in Advanced Mathematics

This work consists of two courses on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on;

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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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Flat Rank Two Vector Bundles on Genus Two Curves

moduli space of underlying vector bundles (including unstable bundles), for which they compute a natural Lagrangian rational section. As a;

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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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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

are discussed in the articles are diverse in nature such as class field theory, zeta functions, moduli of arithmetic vector bundles, moduli;

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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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Collected Papers of C. S. Seshadri

for GL(2) and applications, Proc. Intern. Colloquium on Algebraic Geometry, Bombay (1968), 347-371. 19. Moduli of vector bundles over an;

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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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London Mathematical Society Lecture Note Series

The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts;

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Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles

numbers of the moduli space of rank 3 parabolic Higgs bundles with fixed and non-fixed determinant, using Morse theory. A key point is that;

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An Introduction to Invariants and Moduli

such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation;

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An Introduction to Invariants and Moduli

such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation;

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Moduli Spaces and Arithmetic Geometry (Kyoto, 2004)

problem and/or arithmetic geometry. Algebraic curves, Abelian varieties, algebraic vector bundles, connections and D-modules are the subjects;

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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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Geometry Of Moduli Spaces Of Sheaves

their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert;

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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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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

, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete;

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

, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete;

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Algebraic Curves

geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it;

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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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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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On Moduli Spaces of Semistable Sheaves on K3 Surfaces

of singular moduli spaces of sheaves on projective abelian and K3 surfaces for special nonprimitive Mukai vectors v with v.v=8, Kaledin, Lehn and;

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Weil's Conjecture for Function Fields

is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic;

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Weil's Conjecture for Function Fields

is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic;

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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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Gauge Theory and the Topology of Four-manifolds

of stable holomorphic bundles over the manifold. The extra geometric richness of the $SU(2)$ - moduli spaces may one day be important for purposes;

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