| 书目名称 | Hamiltonian Group Actions and Equivariant Cohomology |
| 编辑 | Shubham Dwivedi,Jonathan Herman,Theo van den Hurk |
| 视频video | |
| 概述 | Self-contained treatment of equivariant cohomology.Treatment of moduli spaces of flat connections (a topic of considerable current interest).The only background required is a course on differential ma |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .This monograph could be used for a graduate course on symplectic geometry as well as for independent study..The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.. |
| 出版日期 | Book 2019 |
| 关键词 | Symplectic geometry; Equivariant cohomology; Moduli spaces; Flat connections; Gauge theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-27227-2 |
| isbn_softcover | 978-3-030-27226-5 |
| isbn_ebook | 978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 16:25:06
