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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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The Arrow Polynomial
by
Heather A. Dye
McKendree University
Coauthors: Louis H. Kauffman

We introduce the arrow polynomial, an invariant of virtual link diagrams. This polynomial is an oriented version of the bracket polynomial; associated with each surviving state of the arrow polynomial is a k-degree. The maximum k-degree of the arrow polynomial determines a lower bound on the virtual crossing number of a virtual link.

Paper reference: arXiv:0810.3858

Date received: October 8, 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-03.