Self-Repelling Knots and Local Energy Minima

  • Louis H. Kauffman
  • Milana Huang
  • Robert P. Greszczuk
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 103)


This paper discusses properties of simulations of electrically self-repelling knots. In particular, we give an example of two configurations of the Kinoshita-Terasaka knot (of Alexander polynomial one) that appear to be distinct local energy minima for both the electrical simulation and for the Simon energy.


Simulated Annealing Electrical Force Local Energy Minimum Alexander Polynomial Electrical Simulation 
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Copyright information

© Springer-Verlag New York, Inc. 1998

Authors and Affiliations

  • Louis H. Kauffman
    • 1
  • Milana Huang
    • 2
  • Robert P. Greszczuk
    • 3
  1. 1.Department of Mathematics, Statistics and Computer ScienceUniversity of Illinois at ChicagoChicagoUSA
  2. 2.Electronic Visualization Laboratory, Department of EECSUniversity of Illinois at ChicagoChicagoUSA
  3. 3.Department of RadiologyUniversity of ChicagoChicagoUSA

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