Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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On finite-type invariants of virtual knots.
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.