07-1352/Suggested Topics for Student Lectures
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In Preparation
The information below is preliminary and cannot be trusted! (v)
Students must choose their lecture topics in coordination with Dror, and the sooner this is done, the better.
- More on Chern-Simons theory, Feynman diagrams and configuration space integrals.
- More on the Milnor Moore Theorem.
- Explicit computations for torus knots, Hopf chains, etc.
- Higher skein modules following Andersen and Turaev, arXiv:math.GT/9812071.
- Homotopy invariants of links.
- Vassiliev invariants for braids.
- Goussarov's "interdependent modifications".
- The Melvin-Morton-Rozansky (ex-)Conjecture.
- Finite type invariants of 3-manifolds.
- The LMO invariant and the Århus integral.
- Hutchings' step by step integration.
- The exceptional Lie algebras and finite type invariants.
- More on the self-linking number.
- BF theories.
- Anything else from VasBib.
- Anything else from anywhere else.