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Intersection Homology & Perverse Sheaves

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric;

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Intersection Homology & Perverse Sheaves

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric;

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Homology of Analytic Sheaves and Duality Theorems

. . . . . . . . .. . . . . . . . . 63 . . .;...

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Singular Intersection Homology

Intersection homology is a version of homology theory that extends Poincare duality and its applications to stratified spaces, such as;

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An Extension of Casson's Invariant. (AM-126), Volume 126

splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F;

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Factorization Algebras in Quantum Field Theory

of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex;

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Basic Algebraic Topology

, covering spaces and elementary aspects of homology theory. It presents the central objects of study in topology visualization: manifolds. After;

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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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Moduli Spaces Of Stable Sheaves On Schemes

vector bundles were studied intensively by Indian mathematicians. The notion of stability for algebraic sheaves was generalized to higher;

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Introduction to Quantum Groups

of perverse sheaves, the book could also be used as a text book.;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

proof of the celebrated Milnor Conjecture by Vladimir Voevodsky. The theory of sheaves of relative cycles is developed in the first paper;

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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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Factorization Algebras in Quantum Field Theory

of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex;

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An Alpine Bouquet of Algebraic Topology

homology, intersection cohomology, and symplectic topology.;

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Categories and Sheaves

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and;

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Algebraic Geometry & Arithmetic Curves

aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing;

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Cornered Heegaard Floer Homology

Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold;

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Bringing in Sheaves

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Gleanings Among the Wheat Sheaves

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Gleanings among the Sheaves

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Katherine's Sheaves (Esprios Classics)

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A Geometric Approach to Homology Theory

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that;

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Geometry Of Moduli Spaces Of Sheaves

Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and;

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Topology of Stratified Spaces

by well-known experts cover intersection homology, L2 cohomology and differential operators, topology of algebraic varieties, signatures and;

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Topology of Stratified Spaces

by well-known experts cover intersection homology, L2 cohomology and differential operators, topology of algebraic varieties, signatures and;

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London Mathematical Society Lecture Note Series

augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory;

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Geometric Representation Theory and Gauge Theory: Cetraro, Italy 2018

is to study moduli spaces of sheaves on a surface, as well as Hecke correspondences between them. Oblomkov's notes concern matrix factorizations;

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