Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces

S. K. Donaldson, C. B. Thomas (Herausgeber)

Buch | Softcover

276 Seiten

1991
Cambridge University Press (Verlag)
9780521399784 (ISBN)

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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.

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.

Erscheint lt. Verlag	24.1.1991
Reihe/Serie	London Mathematical Society Lecture Note Series
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	153 x 228 mm
Gewicht	424 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-13	9780521399784 / 9780521399784
Zustand	Neuware