

Geometric Topology Seminar
October 5, 2017 14:00–16:00, Moscow, Math Department of the Higher School of Economics (Usachyova, 6), Room 209






Weighted transition polynomial as a weight system
Alex Dunaykin^{} ^{} National Research University "Higher School of Economics" (HSE), Moscow

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Abstract:
In order to study Vassiliev invariants of knots we may study functions on chord diagrams that satisfy special relations. Such functions are called weight systems. A chord diagram is an oriented ribbon graph with one vertex. We introduce a weight system that is a weighted transition polynomial of the medial graph of a chord diagram. Preñise definitions will be given in the beginning of the talk and our weight system will be continued to an arbitrary ribbon graph remaining a weight system.

