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Geometry of Low-Dimensional Manifolds

Geometry of Low-Dimensional Manifolds

Volume 1. Gauge Theory and Algebraic Surfaces

£41.99

Part of London Mathematical Society Lecture Note Series

S. K. Donaldson, Robert E. Gompf, Dieter Kotschick, Matthias Kreck, F. A. E. Johnson, Andreas Floer, Ronald Fintushel, Ronald J. Stern, Christian Okonek, Mikio Furuta, N. S. Manton, Ralph E. Cohen, John D. S. Jones, D. H. Hartley, R. W. Tucker, F. E. Burstall, K. P. Tod, John C. Wood
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  • Date Published: January 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521399784

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About the Authors
  • 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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    Product details

    • Date Published: January 1991
    • format: Paperback
    • isbn: 9780521399784
    • length: 276 pages
    • dimensions: 228 x 153 x 16 mm
    • weight: 0.424kg
    • availability: Available
  • 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.

  • Editors

    S. K. Donaldson, University of Oxford

    C. B. Thomas, University of Cambridge

    Contributors

    S. K. Donaldson, Robert E. Gompf, Dieter Kotschick, Matthias Kreck, F. A. E. Johnson, Andreas Floer, Ronald Fintushel, Ronald J. Stern, Christian Okonek, Mikio Furuta, N. S. Manton, Ralph E. Cohen, John D. S. Jones, D. H. Hartley, R. W. Tucker, F. E. Burstall, K. P. Tod, John C. Wood

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