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Knot contact homology and a question of Cappell and Shaneson
by
Christopher Cornwell
Duke University
Coauthors: David Hemminger
An open question raised by Cappell and Shaneson asks whether the minimal number of meridians needed to generate the group of a knot is equal to the bridge number of that knot. Knot contact homology gives a new approach to studying this question, which we will show behaves well for certain satellites. This gives an affirmative answer to Cappell and Shaneson's question for many satellite knots, including iterated torus knots.
Date received: January 3, 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 # cbid-19.