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Singular Intersection Homology

✍ Scribed by Greg Friedman


Publisher
CUP
Year
2020
Tongue
English
Leaves
822
Series
New Mathematical Monographs 33
Category
Library

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✦ Table of Contents


Contents
Preface
Notations and Conventions
1 Introduction
2 Stratified Spaces
3 Intersection Homology
4 Basic Properties of Singular and PL Intersection
Homology
5 Mayer–Vietoris Arguments and Further Properties of
Intersection Homology
6 Non-GM Intersection Homology
7 Intersection Cohomology and Products
8 PoincarΓ© Duality
9 Witt Spaces and IP Spaces
10 Suggestions for Further Reading
A - Algebra
B - An Introduction to Simplicial and PL Topology
References
Glossary of Symbols
Index


πŸ“œ SIMILAR VOLUMES


Singular Intersection Homology
✍ Greg Friedman πŸ“‚ Library πŸ“… 2020 πŸ› Cambridge University Press 🌐 English

Intersection homology is a version of homology theory that extends PoincarΓ© duality and its applications to stratified spaces, such as singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular and piecewise-linear

Intersection Homology & Perverse She
✍ LaurenΕ£iu G. Maxim πŸ“‚ Library πŸ“… 2019 πŸ› Springer International Publishing 🌐 English

<p><p>This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads

Algebraic topology: homology and cohomol
✍ Andrew H Wallace πŸ“‚ Library πŸ“… 1970 πŸ› W. A. Benjamin 🌐 English

<DIV>This self-contained text is suitable for advanced undergraduate and graduate students and may be used either after or concurrently with courses in general topology and algebra. It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of co