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Pants distance, twist number, and volume of hyperbolic 2-bridge knots
by
Alexander Zupan
University of Iowa
We adapt an approach of Bachman and Schleimer to define the pants distance of a bridge splitting for a knot K in a 3-manifold M. If K is a hyperbolic 2-bridge knot in the 3-sphere, the pants distance of a 2-bridge decomposition of K is closely related to the twist number and the volume of K. We will discuss evidence in support of a more general relationship between pants distance and hyperbolic volume for other families of knots.
Date received: November 1, 2011
Copyright © 2011 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 # cbdt-13.