Introduction to quantum topology
The course contains 3 parts: (1)Introduction of several quantum invariants: Jones polynomial, Reshetikhin-Turaev invariant, Turaev-Viro invariant etc, (2) Brief introduction of 3-dimensional hyperbolic geometry (3) Topics on the relation between (1) and (2).
We will be focusing on quantum invariant comes from representation theories of sl(2) and using the language of skeins, hence no prerequisite of tensor category is needed.
We will be focusing on quantum invariant comes from representation theories of sl(2) and using the language of skeins, hence no prerequisite of tensor category is needed.
讲师
日期
2026年03月19日 至 06月04日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四 | 14:20 - 17:50 | A14-202 | ZOOM 02 | 518 868 7656 | BIMSA |
参考资料
1. Blanchet, Christian, Nathan Habegger, Gregor Masbaum, and Pierre Vogel. "Three-manifold invariants derived from the Kauffman bracket." Topology 31, no. 4 (1992): 685-699.
2. Blanchet, Christian, Nathan Habegger, Gregor Masbaum, and Pierre Vogel. "Topological quantum field theories derived from the Kauffman bracket." Topology 34, no. 4 (1995): 883-928.
3. Martelli, Bruno. "An introduction to geometric topology." arXiv preprint arXiv:1610.02592 (2016).
2. Blanchet, Christian, Nathan Habegger, Gregor Masbaum, and Pierre Vogel. "Topological quantum field theories derived from the Kauffman bracket." Topology 34, no. 4 (1995): 883-928.
3. Martelli, Bruno. "An introduction to geometric topology." arXiv preprint arXiv:1610.02592 (2016).
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
视频公开
公开
笔记公开
公开
语言
中文