An Introduction to Intersection Homology Theory

Frances (Balliol College Kirwan

ISBN 10: 1584881844 / ISBN 13: 9781584881841

Published by Taylor & Francis Inc Jun 2006, 2006

About this Item

Neuware - Huge advances in intersection homology theory along with significant applications of the theory have emerged in diverse areas of mathematics. Introduction to Intersection Homology Theory provides an introduction to the subject that is easily accessible to graduate students. This second edition features a chapter on intersection homology of toric varieties and the link with the theory of convex polytopes. It also includes material on Zucker's conjecture and recent progress. In addition, it discusses the historical background to the development of homology theory. Based on a course taught by the author, this textbook remains essential for graduate students in this area.

Seller Inventory # 9781584881841

Bibliographic Details

• Title: An Introduction to Intersection Homology Theory
• Publisher: Taylor & Francis Inc Jun 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 1584881844
• ISBN 13: 9781584881841
• Binding: Buch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 242W x 161H x 18D millimeters 242 millimeters width by 161 millimeters height by 18 millimeters depth
• Weight: 504 grams

About this title

Synopsis

Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory. Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs. It treats both the basics of the subject and a wide range of applications, providing lucid overviews of highly technical areas that make the subject accessible and prepare readers for more advanced work in the area. This second edition contains entirely new chapters introducing the theory of Witt spaces, perverse sheaves, and the combinatorial intersection cohomology of fans. Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra. With its clear explanations of the main ideas, this book builds the confidence needed to tackle more specialist, technical texts and provides a framework within which to place them.

About the Author

Frances Kirwan, Jonathan Woolf