Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Knot contact homology and a question of Cappell and Shaneson
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.