Invariantes for homology

3- Spheres

Nikolai Saveliev

230 pages, parution le 20/09/2002

Ajouter à une liste

Indisponible

Résumé

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. Contents

Homology 3-Spheres
Rokhlin Invariant
Casson Invariant
Invariants of Walker and Lescop
Casson Invariant and Gauge Theory
Instanton Floer Homology
The Homology Cobordism Group

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Nikolai Saveliev
Parution	20/09/2002
Nb. de pages	230
Format	16 x 24
Couverture	Relié
Poids	468g
Intérieur	Noir et Blanc
EAN13	9783540437963