| Invariants of Homology 3-Spheres Contributor(s): Saveliev, Nikolai (Author), Gamkrelidze, R. V. (Editor), Vassiiev, A. (Editor) |
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ISBN: 3642078494 ISBN-13: 9783642078491 Publisher: Springer OUR PRICE: $151.99 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Geometry - General - Science | Physics - Mathematical & Computational |
| Dewey: 514.3 |
| Series: Encyclopaedia of Mathematical Sciences |
| Physical Information: 0.5" H x 6.14" W x 9.21" (0.75 lbs) 223 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |