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Symmetric Criticality for Ropelength

Presented by: 
M Mastin University of Georgia
Date: 
Wednesday 5th December 2012 - 09:40 to 10:00
Venue: 
INI Seminar Room 1
Session Title: 
Knots in mathematics: Knot energies
Session Chair: 
Jason Cantarella
Abstract: 
The ropelength of a link embedded in $R^3$ is the ratio of the curve's length to its thickness. Jason Cantarella, Joe Fu, Rob Kusner, and John Sullivan have developed a theory of first order criticality for ropelength. We will discuss an extension of this work for the case of link conformations with rigid rotational symmetry. As an application we will prove that there is an infinite class of knots for which there are geometrically distinct ropelength critical conformations. This work is joint with Jason Cantarella, Jennifer Ellis, and Joe Fu.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons