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The (g, b)-decompositions of iterated torus knots
by
Alexander Zupan
University of Texas at Austin
For any knot K in the 3-sphere, and for each non-negative integer g, the knot K has a bridge number with respect to a genus g Heegaard surface. With respect to certain types of generic knots K, these genus g bridge numbers are determined by the classical bridge number of K. However, we will demonstrate that iterated torus knots can realize a wide array of unexpected genus g bridge numbers.
Date received: October 24, 2012
Copyright © 2012 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 # cbfw-10.