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Seminar of the Department of Algebra
October 13, 2009 15:00, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)
 


Symbol of the Conway polynomial and Drinfeld associator

S. V. Duzhin

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Abstract: The Magnus expansion is a universal finite type invariant of pure braids with values in the space of horizontal chord diagrams. The Conway polynomial composed with the short circuit map from braids to knots gives rise to a series of finite type invariants of pure braids and thus factors through the Magnus map. We describe explicitly the resulting mapping from horizontal chord diagrams on 3 strands to univariate polynomials and evaluate it on the Drinfeld associator obtaining a beautiful generating function whose coefficients are integer combinations of multiple zeta values.
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