Geometry of Low-Dimensional Manifolds
Geometry of Low-Dimensional Manifolds
Symplectic Manifolds and Jones-Witten Theory
Volume 2:
January 1991
2
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9780521400015
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These 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.
Product details
January 1991Paperback
9780521400015
260 pages
230 × 152 × 17 mm
0.319kg
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Table of Contents
- 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.
