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On finite-type invariants of virtual knots.
by
Arnaud Mortier
Osaka City Advanced Mathematical Institute
Gauss diagrams are a combinatorial presentation of knot diagrams, at the origin of the virtual knot theory due to Kauffman. Goussarov-Polyak-Viro and Fiedler showed that those diagrams are very convenient to describe finite-type invariants. We give a positive answer to a conjecture due to Polyak on the structure of these invariants in the case of virtual knots.
Date received: November 1, 2013
Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbid-04.