Geometry of Low-Dimensional Manifolds

Name: Geometry of Low-Dimensional Manifolds
Price: 30.64 USD
Availability: InStock
ISBN: 9780521399784

ISBN-10: 0521399785

ISBN-13: 9780521399784

Edition: 1990

Authors: S. K. Donaldson, C. B. Thomas, N. J. Hitchin

List price: $79.99

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Description:

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.

Book details

List price: $79.99
Copyright year: 1990
Publisher: Cambridge University Press
Publication date: 1/24/1991
Binding: Paperback
Pages: 276
Size: 6.25" wide x 9.25" long x 0.75" tall
Weight: 0.836
Language: English



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