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Critical Links and Unlinks

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Topological Dynamics in the Physical and Biological Sciences

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 Mbius 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]

This talk is part of the Isaac Newton Institute Seminar Series series.

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