Donaldson / Thomas

Geometry of Low-Dimensional Manifolds

2: Symplectic Manifolds and Jones-Witten Theory
Herausgeber: Donaldson, S. K.; Thomas, C. B.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 260
• Erscheinungstermin: 1. Februar 2001
• Englisch
• Abmessung: 229mm x 152mm x 15mm
• Gewicht: 427g
• ISBN-13: 9780521400015
• ISBN-10: 0521400015
• Artikelnr.: 21506746

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.