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Quantum Field Theory and Manifold Invariants.
・ISBN 978-1-4704-6123-2 hard US$ 112.00
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| 著者・編者 | Freed, Daniel S. / Gukov, Sergei / Manolescu, Ciprian / Teleman, Constantin / Tillmann, Ulrike (eds.), |
|---|---|
| シリーズ | (IAS/Park City Mathematics Series) |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2021 |
| ページ数 | 476 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-22193＞ |
解説
This volume contains lectures from the Graduate Summer School ""Quantum Field Theory and Manifold Invariants"" held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field.
Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.
Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.