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Cohomology of Vector Bundles and Syzygies

of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained;

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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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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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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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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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Elements of Homology Theory

applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later;

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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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Complex Projective Geometry

Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods;

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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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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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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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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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Manifolds Tensorsnd Forms

cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and;

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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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The Topology of Fibre Bundles. (PMS-14), Volume 14

brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles;

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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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Introduction to Global Variational Geometry

chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order;

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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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K-Theory

bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use;

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K-Theory

bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use;

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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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Hodge Theory And Complex Algebraic Geome

complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical;

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