07-1352/Suggested Topics for Student Lectures: Difference between revisions
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{{In Preparation}} |
{{In Preparation}} |
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Students '''must''' choose their lecture topics in coordination with {{Dror}}, and the sooner this is done, the better. |
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* More on Chern-Simons theory, Feynman diagrams and configuration space integrals. |
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* More on the Milnor Moore Theorem. |
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* Explicit computations for torus knots, Hopf chains, etc. |
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* Higher skein modules following Andersen and Turaev, {{arXiv|math.GT/9812071}}. |
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* Homotopy invariants of links. |
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* Vassiliev invariants for braids. |
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* Goussarov's "interdependent modifications". |
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* The Melvin-Morton-Rozansky (ex-)Conjecture. |
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* Finite type invariants of 3-manifolds. |
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* The LMO invariant and the Århus integral. |
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* Hutchings' step by step integration. |
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* The exceptional Lie algebras and finite type invariants. |
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* More on the self-linking number. |
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* BF theories. |
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* Anything else from [http://www.pdmi.ras.ru/~duzhin/VasBib/ VasBib]. |
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* Anything else from anywhere else. |
Revision as of 11:34, 6 February 2007
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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.