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Geometry of Low-Dimensional Manifolds

Geometry of Low-Dimensional Manifolds

Geometry of Low-Dimensional Manifolds

Volume 1: Gauge Theory and Algebraic Surfaces
S. K. Donaldson, University of Oxford
C. B. Thomas, University of Cambridge
January 2011
1. Gauge Theory and Algebraic Surfaces
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    These volumes are 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 (topology, differential and algebraic geometry and mathematical physics) interact.

    Product details

    January 2011
    Adobe eBook Reader
    9780511892530
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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.
      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

    • Editors
    • S. K. Donaldson , University of Oxford
    • C. B. Thomas , University of Cambridge