Symplectic manifolds and Jones-Witten theory : proceedings of the Durham symposium, July 1989
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書誌事項
Symplectic manifolds and Jones-Witten theory : proceedings of the Durham symposium, July 1989
（London Mathematical Society lecture note series, 151 . Geometry of lowーdimensional manifolds ; 2）
Cambridge University Press, 1990
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注記
"LMS Durham Symposium on the geometry of low-dimensional manifolds"--Back cover
Includes bibliographies
内容説明・目次
内容説明
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.
目次
- Names 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.
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