Torus Actions on Symplectic Manifolds
(Sprache: Englisch)
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with...
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Klappentext zu „Torus Actions on Symplectic Manifolds “
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Inhaltsverzeichnis zu „Torus Actions on Symplectic Manifolds “
I. Smooth Lie group actions on manifolds- II. Symplectic manifolds
- III. Symplectic and Hamiltonian group actions
- IV. Morse theory for Hamiltonians
- V. Moduli spaces for flat connections
- VI. Equivariant cohomology and the Duistermaat-Heckman theorem
- VII. Toric manifolds
- VIII. Hamiltonian circle actions on manifolds of dimension 4
Bibliographische Angaben
- Autor: Michèle Audin
- 2004, 2nd revised ed. 2004, 328 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3764321768
- ISBN-13: 9783764321765
- Erscheinungsdatum: 27.09.2004
Sprache:
Englisch
Rezension zu „Torus Actions on Symplectic Manifolds “
From the reviews:"Through careful writing, this revised edition achieves much more than that volume, and can be considered, in fact, a new and improved book. The second edition contains more material, and includes several new results and techniques. Topics included in the first edition are now presented more thoroughly, with more results, illustrated by well-chosen examples, and many new exercises. The author has systematically addressed suggestions made in the review of the first edition. The book is nicely written, and is a good reference book. By including detailed proofs, illuminating examples and figures, and numerous exercises, the author has made this book a suitable text for a graduate course, especially one centered on Hamiltonian torus actions and their applications."(MATHEMATICAL REVIEWS)
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