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Critical Links and Unlinks

Date: 
Wednesday 5th December 2012 - 10:20 to 10:40
Venue: 
INI Seminar Room 1
Session Title: 
Knots in mathematics: Knot energies
Session Chair: 
Jason Cantarella
Abstract: 
The configuration spaces Hopf_k or McCool_k of k-component Hopf-links or unlinks can be understood using extensions of Hatcher's proof of the Smale Conjecture. We will describe low-energy critical configurations for Möbius energy or Ropelength on Hopf_k or McCool_k, and sketch a picture of the bottom of the Morse-Smale complex for each.

[This represents part of an ongoing project with Ryan Budney and John M. Sullivan]
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons