Progress in Mathematics

Torus Actions on Symplectic Manifolds

Authors: Audin, Michèle

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About this book

How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14]. I have hesitated quite a long time before deciding to do the re-writing work-the first edition has been sold out for a few years. There was absolutely no question of just correcting numerous misprints and a few mathematical errors. When I wrote the first edition, in 1989, the convexity and Duistermaat-Heckman theorems together with the irruption of toric varieties on the scene of symplectic geometry, due to Delzant, around which the book was organized, were still rather recent (less than ten years). I myself was rather happy with a small contribution I had made to the subject. I was giving a post-graduate course on all that and, well, these were lecture notes, just lecture notes. By chance, the book turned out to be rather popular: during the years since then, I had the opportunity to meet quite a few people(1) who kindly pretended to have learnt the subject in this book. However, the older book does not satisfy at all the idea I have now of what a good book should be. So that this "new edition" is, indeed, another book.

Reviews

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)


Table of contents (9 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-7960-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-7643-2176-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-9637-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Torus Actions on Symplectic Manifolds
Authors
Series Title
Progress in Mathematics
Series Volume
93
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-7960-6
DOI
10.1007/978-3-0348-7960-6
Hardcover ISBN
978-3-7643-2176-5
Softcover ISBN
978-3-0348-9637-5
Series ISSN
0743-1643
Edition Number
2
Number of Pages
VIII, 328
Topics