Invariants of Homology 3-Spheres / Edition 1

Invariants of Homology 3-Spheres / Edition 1

by R.V. Gamkrelidze, Nikolai Saveliev
     
 

ISBN-10: 3540437967

ISBN-13: 9783540437963

Pub. Date: 10/28/2002

Publisher: Springer Berlin Heidelberg

The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical

…  See more details below

Overview

The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. The text will be a valuable source for both the graduate student and researcher in mathematics and theoretical physics.

Product Details

ISBN-13:
9783540437963
Publisher:
Springer Berlin Heidelberg
Publication date:
10/28/2002
Series:
Encyclopaedia of Mathematical Sciences Series, #140
Edition description:
2002
Pages:
223
Product dimensions:
6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1Homology 3 Spheres1
2Rokhlin Invariant35
3Casson Invariant51
4Invariants of Walker and Lescop87
5Casson Invariant and Gauge Theory99
6Instanton Floer Homology123
7The Homology Cobordism Group185
References205
Index219

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >