Del 151 - London Mathematical Society Lecture Note Series

Geometry of Low-Dimensional Manifolds: Volume 2

Symplectic Manifolds and Jones-Witten Theory

Häftad, Engelska, 1991

AvDonaldson/Thomas,S. K. Donaldson,C. B. Thomas,S. K. (University of Oxford) Donaldson,C. B. (University of Cambridge) Thomas

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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.

Produktinformation

Utgivningsdatum1991-01-24
Mått152 x 230 x 17 mm
Vikt319 g
FormatHäftad
SpråkEngelska
SerieDel 151 i London Mathematical Society Lecture Note Series
Antal sidor260
FörlagCambridge University Press
ISBN9780521400015

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Matematik inom Naturvetenskap och teknik

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.