Geometry of Low-Dimensional Manifolds: Volume 2 (eBook, PDF)

Symplectic Manifolds and Jones-Witten Theory
Redaktion: Donaldson, S. K.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 24. Januar 1991
• Englisch
• ISBN-13: 9781139242813
• Artikelnr.: 38279150

Inhaltsangabe

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.