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Floer Homology Groups in Yang-Mills Theory.
・ISBN 978-0-521-80803-3 hard GB£ 134.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54309-8
| 著者・編者 | Donaldson, S. K., |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2002 |
| ページ数 | 246 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10867＞ |
解説
The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.