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18.969专题几何：几何狄拉克（麻省理工学院）18.969 Topics in Geometry: Dirac Geometry (MIT) |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-969-topics-in-geometry-... |
| 主讲教师: | Prof. Marco Gualtieri |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 2006-01-01 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry. |
| 关 键 词: | 狄拉克几何; 和辛几何; 广义几何 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2024-05-07：chenjy |
| 阅读次数: | 53 |