Geometry of Low-Dimensional Manifolds
Geometry of Low-Dimensional Manifolds
Volume 1: Gauge Theory and Algebraic Surfaces
January 1991
1. Gauge Theory and Algebraic Surfaces
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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 during the 1990s, 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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January 1991Paperback
9780521399784
276 pages
228 × 153 × 16 mm
0.424kg
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Table of Contents
- Contributors
- Names of Participants
- Introduction
- Acknowledgments
- 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:
- 6. Instanton homology, surgery and knots Andreas Floer
- 7. Instanton homology Andreas Floer, notes by Dieter Knotschick
- 8. Invariants for homology 3-spheres Ronald Fintushel and Ronald J. Stern
- 9. On the Floer homology of Seifert fibered homology 3-spheres Christian Okonek
- 10. Za-invariant SU(2) instantons over the four-sphere Mikio Furuta
- Part III. Differential Geometry and Mathematical Physics
- 11. Skyrme fields and instantons N. S. Manton
- 12. Representations of braid groups and operators coupled to monopoles Ralph E. Cohen and John D. S. Jones
- 13. Extremal immersions and the extended frame bundle D. H. Hartley and R. W. Tucker
- 14. Minimal surfaces in quaternionic symmetric spaces F. E. Burstall
- 15. Three-dimensional Einstein-Weyl geometry K. P. Tod
- 16. Harmonic Morphisms, conformal foliations and Seifert fibre spaces John C. Wood.
