E-Book, Englisch, Band 140, 223 Seiten, eBook
Saveliev / Gamkrelidze / Vassiiev Invariants of Homology 3-Spheres
2002
ISBN: 978-3-662-04705-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 140, 223 Seiten, eBook
Reihe: Encyclopaedia of Mathematical Sciences
ISBN: 978-3-662-04705-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1 Homology 3-Spheres.- 2 Rokhlin Invariant.- 3 Casson Invariant.- 4 Invariants of Walker and Lescop.- 5 Casson Invariant and Gauge Theory.- 6 Instanton Floer Homology.- 7 The Homology Cobordism Group.- References.
