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Equivariant Poincare Duality on G-Manifolds

This book carefully presents a unified treatment of equivariant Poincare duality in a wide variety of contexts, illuminating an area;

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Algebraic L-theory and Topological Manifolds

is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes;

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Algebraic L-theory and Topological Manifolds

is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes;

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Geometry on Poincare Spaces. (MN-41), Volume 41

A Poincare space is a topological space satisfying Poincare duality, as a compact manifold. This book explains how to perform, in the;

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Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

Poincare duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the;

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Introduction to Symplectic Geometry

inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul;

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Mod Two Homology and Cohomology

)homology are introduced, with their products and Steenrod squares, as well as equivariant cohomology. Classical applications include Brouwer's;

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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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Hamiltonian Group Actions and Equivariant Cohomology

This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an;

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Cambridge Studies in Advanced Mathematics

Originally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and;

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Cambridge Studies in Advanced Mathematics

Originally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and;

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Global Homotopy Theory

Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology;

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From Calculus to Cohomology

ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on;

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Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under;

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Aspects Of Sobolev-Type Inequalities

This book, first published in 2001, focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and;

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Dynamical Systems and Geometric Mechanics

equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first;

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Local Cohomology and Its Applications

lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties;

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Introduction To Differential Manifolds, An

This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas;

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Toric Topology

This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology;

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Basic Algebraic Topology

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty;

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Lectures On The Geometry Of Manifolds (2nd Edition)

develop many algebraic-topological techniques in the special context of smooth manifolds such as Poincare duality, Thom isomorphism, intersection;

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I.G.Petrovskii

This book contains the major works of Ivan Georgievich Petrowsky on systems of partial differential equations and algebraic geometry. The;

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I.G.Petrovskii

This book contains the major works of Ivan Georgievich Petrowsky on systems of partial differential equations and algebraic geometry. The;

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Semi-Classical Analysis

discussed include wave and heat trace formulas for globally defined semi-classical differential operators on manifolds, and equivariant versions;

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Introduction to Complex Theory of Differential Equations

This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex;

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