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On quandles and biquandles related to twisted virtual links
by
Seiichi Kamada
Hiroshima University
Coauthors: Naoko Kamada
We introduce two kinds of structures, called v-structures and t-structures, on biquandles. These structures are used for colorings of diagrams of virtual links and twisted virtual links such that the numbers of colorings are invariants. As an application, it is easily seen that Bourgoin's twofoil is not a virtual knot. The colorings can be used for quandle cocycle invariants of twisted virtual links. We also give a geometric interpretation of the group, in the sense of Bourgoin, and the quandle, in the sense of Naoko Kamada, of a twisted virtual link.
Date received: April 3, 2010
Copyright © 2010 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 # cbaf-06.