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Invariants of Homology 3-Spheres

Invariants of Homology 3-Spheres PDF Author: Nikolai Saveliev
Publisher: Springer Science & Business Media
ISBN: 9783540437963
Category : Mathematics
Languages : en
Pages : 254

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Book Description
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.