Invariants of Homology 3-Spheres (Hardcover) (ISBN-13: 9783540437963)

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.

Author: Nikolai Saveliev
ISBN-10: 3540437967
ISBN-13: 9783540437963
Publisher: Springer
Language: English
Published: 09/05/2002
Pages: 223
Format: Hardcover
Weight: 1.13lbs
Size: 9.21h x 6.14w x 0.56d