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.
Lecturer
Date
19th March ~ 4th June, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 14:20 - 17:50 | A14-202 | Tencent A | 482 969 7386 | 106457 |
Reference
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).
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
Video Public
Yes
Notes Public
Yes
Language
Chinese