

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.
See also

