Posted in
Speaker:
Patricia Cahn
Affiliation:
U of Pennsylvania/MPI
Date:
Mon, 06/01/2014 - 16:30 - 17:30
Location:
MPIM Lecture Hall
Parent event:
Geometry and Topology Seminar We give algebraic formulas for the minimal intersection and self-intersection numbers of proper arcs and curves on oriented surfaces. In the case of closed curves, the formulas are given in terms of the Andersen-Mattes-Reshetikhin Poisson algebra of chord diagrams on a surface, and a related operation $\mu$. The operation $\mu$ can be viewed as a generalization of Turaev's Lie coalgebra structure on the vector space generated by nontrivial free homotopy classes of loops on a surface. Some of the work presented is jointwith Vladimir Chernov.
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