Topology Atlas | Conferences

Knots in Washington XL in memory of Sergei Duzhin (1956-2015)
March 9-11, 2015
George Washington University and Georgetown University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Paul Kainen (Georgetown U.), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Finite-type invariants for virtual knots extending Goussarov-Polyak-Viro invariants
by
Nicolas Petit
Dartmouth College

Kauffman defined a notion of finite-type invariant for virtual knots. Around the same time, Goussarov-Polyak-Viro gave a different definition. It's been known that every GPV finite-type invariant extends to an invariant according to the Kauffman definition. We show in this talk that the space of such extensions is trivial in the unframed case and one-dimensional in the framed case.

Date received: February 26, 2015

Copyright © 2015 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 # cbkp-17.