Buch, Englisch, Band 151, 256 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 427 g
2: Symplectic Manifolds and Jones-Witten Theory
Buch, Englisch, Band 151, 256 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 427 g
Reihe: London Mathematical Society Lecture Note Series
ISBN: 978-0-521-40001-5
Verlag: Cambridge University Press
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.
Autoren/Hrsg.
Weitere Infos & Material
Volume I: Names of Participants; Introduction; Acknowledgements; Part I. Four-Manifolds and Algebraic Surfaces: 1. Yang-Mills invariants of four-manifolds S. K. Donaldson; 2. On the topology of algebraic surfaces Robert E. Gompf; 3. The topology of algebraic surfaces with q=pg=0 Dieter Kotschick; 4. On the homeomorphism classification of smooth knotted surfaces in the 4-sphere Matthias Kreck; 5. Flat algebraic manifolds F. A. E. Johnson; Part II. Floer's Instanton Homology Groups: Instanton homology, surgery and knots Andreas Floer; 6. Instanton homology Andreas Floer, notes by Dieter Kotschick; 7. Invariants for homology 3-spheres Ronald Fintushel and Ronald J. Stern; 8. On the Floer homology of Seifert fibered homology 3-spheres Christian Okonek; 9. Za-invariant SU(2) instantons over the four-sphere Mikio Furuta; Part III. Differential Geometry and Mathematical Physics: Skyrme fields and instantons N. S. Manton; 10. Representations of braid groups and operators coupled to monopoles Ralph E. Cohen and John D. S. Jones; 11. Extremal immersions and the extended frame bundle D. H. Hartley and R. W. Tucker; 12. Minimal surfaces in quaternionic symmetric spaces F. E. Burstall; 13. Three-dimensional Einstein-Weyl geometry K. P. Tod; 14. Harmonic morphisms, conformal foliations and Seifert fibre spaces John C. Wood. Volume II: 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.
