Invariants of Homology 3-Spheres (Hardcover, 2002 ed.)

Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, 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. It will be appealing to both graduate students and researchers in mathematics and theoretical physics.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, 140
Release date:	September 2002
First published:	2002
Editors:	R. V Gamkrelidze
Authors:	Nikolai Saveliev
Editors:	A. Vassiiev
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover
Pages:	223
Edition:	2002 ed.
ISBN-13:	978-3-540-43796-3
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-540-43796-7
Barcode:	9783540437963

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