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Homology of Analytic Sheaves and Duality Theorems

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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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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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Cohomology and Differential Forms

This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on;

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Moduli Spaces Of Stable Sheaves On Schemes

filtration and generalities on boundedness of sheaves. It then presents fundamental theorems on semi-stable sheaves: restriction theorems of semi;

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Selected Research Papers

work in many areas, from his early efforts in homology groups, duality theorems, and dimension theory to his later achievements in homotopic;

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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete;

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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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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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Algebraic Topology

duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding;

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Mixed Motives

, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology;

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Homology of Normal Chains and Cohomology of Charges

cohomology of a pair are, respectively, locally convex and Banach spaces that are in duality. Ignoring the topological structures, the homology and;

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Graphs, Surfaces and Homology

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible;

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Graphs, Surfaces and Homology

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible;

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Mod Two Homology and Cohomology

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more;

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Introduction to Topology

, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems. Originally published in 1949. The;

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Introduction to Topology

, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems. Originally published in 1949. The;

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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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Differential Algebraic Topology

This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author;

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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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Duality in Analytic Number Theory

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating;

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Duality in Analytic Number Theory

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating;

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Algebraic Curves and Riemann Surfaces

. Proofs of the Riemann-Roch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed;

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Convex Analysis and Variational Problems

programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems;

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