Home Invariants of Homology 3-Spheres by R. V. Gamkrelidze (Editor); Nikolai Saveliev; A. Vassiiev (Editor) (ISBN: 9783540437963)

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Invariants of Homology 3-Spheres Hardcover - 2002 - 2002nd Edition

Name: Invariants of Homology 3-Spheres
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ISBN: 9783540437963

by R. V. Gamkrelidze (Editor); Nikolai Saveliev; A. Vassiiev (Editor)

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From the publisher

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.

First line

Among closed 3-manifolds, integral homology spheres M are characterized by the property that H1(M, Z) = 0.

From the rear cover

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 in the book are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its numerous extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, followed by 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.

Details

Title Invariants of Homology 3-Spheres
Author R. V. Gamkrelidze (Editor); Nikolai Saveliev; A. Vassiiev (Editor)
Binding Hardcover
Edition number 2002nd
Edition 2002
Pages 223
Volumes 1
Language ENG
Publisher Springer, Secaucus, New Jersey, U.S.A.
Date 2002-09-05
Illustrated Yes
Features Bibliography, Concordance, Illustrated, Index, Maps
ISBN 9783540437963 / 3540437967
Weight 1.13 lbs (0.51 kg)
Dimensions 9.21 x 6.14 x 0.56 in (23.39 x 15.60 x 1.42 cm)
Library of Congress Catalog Number 2002726807
Dewey Decimal Code 514.3

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Invariants of Homology 3-Spheres

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