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.
General
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