07-1352/Suggested Topics for Student Lectures: Difference between revisions

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{{In Preparation}}
{{In Preparation}}

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 [http://www.pdmi.ras.ru/~duzhin/VasBib/ VasBib].

* Anything else from anywhere else.

Revision as of 11:34, 6 February 2007

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.
  • 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 anywhere else.