London Mathematical Society Lecture Note Ser.: Geometry of Low-Dimensional Manifolds Vol. 2 : Symplectic Manifolds and Jones-Witten Theory by J. W. S. Cassels (1991, Trade Paperback)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521400015
ISBN-139780521400015
eBay Product ID (ePID)901102
Product Key Features
Number of Pages260 Pages
Publication NameGeometry of Low-Dimensional Manifolds Vol. 2 : Symplectic Manifolds and Jones-Witten Theory
LanguageEnglish
SubjectGeometry / Differential, Topology
Publication Year1991
TypeTextbook
AuthorJ. W. S. Cassels
Subject AreaMathematics
SeriesLondon Mathematical Society Lecture Note Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight11.3 Oz
Item Length9.1 in
Item Width6 in
Additional Product Features
Intended AudienceScholarly & Professional
Series Volume NumberSeries Number 151
IllustratedYes
Table Of ContentNames of Participants; Introduction; Acknowledgements; Part I. Symplectic Geometry: 1. Introduction; 2. Rational and ruled symplectic 4-manifolds Dusa McDuff; 3. Symplectic capacities H. Hofer; 4. The nonlinear Maslov index A. B. Givental; 5. Filling by holomorphic discs and its applications Yakov Eliashberg; Part II. Jones/Witten Theory: 6. Introduction; 7. New results in Chern-Simons theory Edward Witten, notes by Lisa Jeffrey; 8. Geometric quantization of spaces of connections N. J. Hitchin; 9. Evaluations of the 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C) Robion Kirby and Paul Melvin; 10. Representations of braid groups M. F. Atiyah, notes by S. K. Donaldson; Part III. Three-Dimensional Manifolds: 11. Introduction; 12. An introduction to polyhedral metrics of non-positive curvature on 3-manifolds I. R. Aitchison and J. H. Rubinstein; 13. Finite groups of hyperbolic isometries C. B. Thomas; 14. Pin structures on low-dimensional manifolds R. C. Kirby and L. R. Taylor.
SynopsisThese volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact., This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics). The workshop brought together a number of distinguished figures to give lecture courses and seminars in these subjects; the volume that has resulted is the only expository source for much of the material, and will be essential for all research workers in geometry and mathematical physics.