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Knots in Washington XXX; Categorification, Quantum knots and Quantum computing
May 19-21, 2010
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU, UTD), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (MSRI), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Quandles and multivariable polynomial invariants of twisted links
by
Naoko Kamada
Nagoya City University
Coauthors: Seiichi Kamada

In 2008 Bourgoin defined a twisted virtual link, or simply called a twisted link, which is a generalization of a virtual link. We introduce the quandle and a multivariable polynomial invariant of a twisted link. The latter is a generalization to twisted links of the multivariable polynomial invariants of virtual links defined independently by Y. Miyazawa, and H. A. Dye and L. H.Kauffman. We give lower bounds of real crossing numbers of twisted links.

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-05.