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The span of the Jones polynomial of a virtual knot
by
Heather A. Dye
McKendree University
The Kauffman-Murasugi-Thistlethwaite theorem gives a bound on the span of the Jones polynomial for
classical knots. In the early 2000's, Naoko Kamada published two papers that extend this result to alternating virtual links:
Span of the Jones polynomial of an alternating virtual link (Algebr. Geom. Topol. 4 (2004) 1083-1101) and On the Jones polynomials of checkerboard colorable virtual knots (arxiv, 2000).
We establish a bound on the Jones polynomial of knots that are not checkerboard colorable.
The proof uses cut points and includes the original result on checkerboard colorable knots as a special case. (This is work in progress.)
Date received: November 23, 2014
Copyright © 2014 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 # cbjz-05.