Extending Intersection Homology Type Invariants to Non-Witt Spaces

Extending Intersection Homology Type Invariants to Non-Witt Spaces
Author: Markus Banagl
Publisher: American Mathematical Soc.
Total Pages: 101
Release: 2002
Genre: Mathematics
ISBN: 0821829882
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Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.


Extending Intersection Homology Type Invariants to Non-Witt Spaces
Language: en
Pages: 101

Extending Intersection Homology Type Invariants to Non-Witt Spaces

Authors: Markus Banagl
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For
Singular Intersection Homology
Language: en
Pages: 823

Singular Intersection Homology

Authors: Greg Friedman
Categories: Mathematics
Type: BOOK - Published: 2020-09-24 - Publisher: Cambridge University Press

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The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.
Intersection Homology & Perverse Sheaves
Language: en
Pages: 270

Intersection Homology & Perverse Sheaves

Authors: Laurenţiu G. Maxim
Categories: Mathematics
Type: BOOK - Published: 2019-11-30 - Publisher: Springer Nature

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This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts
Topology of Stratified Spaces
Language: en
Pages: 491

Topology of Stratified Spaces

Authors: Greg Friedman
Categories: Mathematics
Type: BOOK - Published: 2011-03-28 - Publisher: Cambridge University Press

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This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.
The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems
Language: en
Pages: 113

The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems

Authors: Olivier Druet
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool