Geometry of Low-Dimensional Manifolds
Geometry of Low-Dimensional Manifolds
Volume 1: Gauge Theory and Algebraic Surfaces
March 1991
1. Gauge Theory and Algebraic Surfaces
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9780521399784
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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.
Product details
March 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.
