Topology Atlas | Conferences

Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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Semiquandles and flat virtuals
by
Allison Henrich
Oberlin College
Coauthors: Sam Nelson

Flat virtual knots have recently emerged as an interesting class of knots. Also referred to as homotopy classes of virtual knots or virtual strings, these knots can be used to help us classify ordinary virtual knots. We introduce an algebraic structure called a semiquandle that yields several new invariants for flat virtual knots. We also introduce the notion of singular semiquandle. The singular semiquandle allows us to generalize to invariants for flat singular virtual knots. As the terminology suggests, these structures are related to the biquandles that give us invariants for classical knots. This is joint work with Sam Nelson.

Date received: October 23, 2008

Copyright © 2008 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 # caxq-08.