Geometry of Low-Dimensional Manifolds

Volume 1, Gauge Theory and Algebraic Surfaces

By: S. K. Donaldson, C. B. Thomas (Editor)

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Paperback | 24 January 1991

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276 Pages

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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 recently, 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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Contributors
Names of Participants
Introduction
Acknowledgments
Four-Manifolds and Algebraic Surfaces
Yang-Mills invariants of four-manifolds
On the topology of algebraic surfaces
The topology of algebraic surfaces with q=pg=0
On the homeomorphism classification of smooth knotted surfaces in the 4-sphere
Flat algebraic manifolds
Floer's Instanton Homology Groups
Instanton homology, surgery and knots
Instanton homology
Invariants for homology 3-spheres
On the Floer homology of Seifert fibered homology 3-spheres
Za-invariant SU(2) instantons over the four-sphere
Differential Geometry and Mathematical Physics
Skyrme fields and instantons
Representations of braid groups and operators coupled to monopoles
Extremal immersions and the extended frame bundle
Minimal surfaces in quaternionic symmetric spaces
Three-dimensional Einstein-Weyl geometry
Harmonic Morphisms, conformal foliations and Seifert fibre spaces
Table of Contents provided by Publisher. All Rights Reserved.

Geometry of Low-Dimensional Manifolds

Volume 1, Gauge Theory and Algebraic Surfaces

At a Glance

Paperback

Shipping

How to return your order

Defective items

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