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Manifolds, Sheaves, and Cohomology

difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.;

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Sheaves in Geometry and Logic: A First Introduction to Topos Theory

Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds;

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Cohomology and Differential Forms

of cohomological theory constitutes the central part of the book. Topics include categories and functors, the ech cohomology with coefficients in sheaves;

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Introduction to Categories, Homological Algebra and Sheaf Cohomology

Categories, homological algebra, sheaves and their cohomology furnish useful methods for attacking problems in a variety of mathematical;

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Hyperkahler Manifolds (2010 re-issue)

: hyperholomorphic sheaves and examples of hyperkahler manifolds; and hyperkahler structures on total spaces of holomorphic cotangent bundles. New paperback;

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From Calculus to Cohomology

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory;

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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also;

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Basic Algebraic Topology

, discussing Poincare duality and the De Rham theorem. A brief introduction to cohomology of sheaves and Cech cohomology follows. The core of the text;

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

unitary group, and each cohomology class is determined by a family of analytic sets.;

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Foundations of Differentiable Manifolds and Lie Groups

integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic;

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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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Introduction To Differential Manifolds, An

of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincare-Hopf theorem relating the Euler number;

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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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Hodge Theory & Complex Algebraic Geom 2

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

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Sheaves and Functions Modulo P: Lectures on the Woods Hole Trace Formula

of Boeckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and;

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Hamiltonian Group Actions and Equivariant Cohomology

introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing;

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Elements of Homology Theory

in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples;

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Algebraic Geometry

information and explanations, starting with conics and ending with sheaves and cohomology. The first chapter on conics is appropriate for first-year;

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Equivariant Poincare Duality on G-Manifolds

of arbitrary characteristic, and hence change (equivariant) de Rham cohomology to the usual singular (equivariant) cohomology . The book will;

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Complex and Symplectic Geometry

such as the cohomology of complex manifolds; analytic techniques in Kahler and non-Kahler geometry; almost-complex and symplectic structures;

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Cambridge Tracts in Mathematics

now known to be relevant for the study of singularity theory, quantum cohomology, mirror symmetry, symplectic geometry and integrable systems;

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Sheaves on Manifolds

Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential;

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Étale Cohomology

algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Supersymmetry and Equivariant de Rham Theory

This book discusses the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since;

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An Invitation to Morse Theory

-max theory, moment maps and equivariant cohomology, and complex Morse theory. The reader is expected to have some familiarity with cohomology;

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