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Singular Intersection Homology

singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular 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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Algebraic Topology

Great first book on algebraic topology. Introduces (co)homology through singular 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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Algebraic Topology

, covering spaces and singular homology theory, in detail. The text has been designed for undergraduate and beginning graduate students;

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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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Elements of Homology Theory

chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology;

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Algebraic Topology

theory for pseudomanifolds coincides with the homology obtained from the singular chain complex. The classical applications of (co) homology;

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Mod Two Homology and Cohomology

first chapters of this book may serve as a basis for a graduate-level introductory course to (co)homology. Simplicial and singular mod 2 (co;

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Differential Algebraic Topology

proved. This implies that for nice spaces these homology groups agree with ordinary singular homology. Besides the standard computations;

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Introduction to Algebraic Topology

, motivating the Eilenberg-Steenrod axioms, and the simplicial approximation theorem is proven. After verifying the axioms for singular homology;

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Flow Lines and Algebraic Invariants in Contact Form Geometry

regular and singular Yamabe-type problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized. Rich;

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An Alpine Bouquet of Algebraic Topology

homology, intersection cohomology, and symplectic topology.;

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London Mathematical Society Lecture Note Series

. The adjective 'singular' in the title refers here to singular points of complex-analytic or algebraic varieties or mappings. A tractable (and;

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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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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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Spectral Invariants With Bulk, Quasi-Morphisms and Lagrangian Floer Theory

In this paper the authors first develop various enhancements of the theory of spectral invariants of Hamiltonian Floer homology and;

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Introduction to Homological Algebra, 85

integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and;

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Homology

Homology, the similarity between organisms that is due to common ancestry, is the central concept of all comparative biology. However, the;

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Homology Effects

Homology Effects offers contributions from an international panel of researchers whose aim has been both to introduce newcomers to the;

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Homotopy Theory with Bornological Coarse Spaces

. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal;

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Lectures on Functor Homology

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra;

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Homology Theory on Algebraic Varieties

variety as well as singular and hyperplane sections. Subsequent chapters explore Lefschetz's first and second theorems with proof of the second;

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Homology, Genes, and Evolutionary Innovation

A major synthesis of homology, written by a top researcher in the field Homology-a similar trait shared by different species and derived;

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Homology of Normal Chains and Cohomology of Charges

neighborhood retracts of a large class of Banach spaces. On this category the authors define homology and cohomology functors with real coefficients;

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