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Mar 29, 2022 at 7:36 comment added David Roberts The first link in Charles' comment is broken, here is a replacement: arxiv.org/abs/math/0612803
Nov 21, 2010 at 19:15 comment added JSE We just had a beautiful colloquium by Greg Buck about exactly this: gregorybuck.com Lots of beautiful movies of knots relaxing via gradient flow to their minimal-energy configuration. (But at present, it seems very hard to prove that knots can't get trapped at a local minimum for the potential Buck uses.)
Jul 10, 2010 at 20:43 comment added Charles Siegel Here's a survey they wrote front.math.ucdavis.edu/0612.5803 and the REU websites are at mtholyoke.edu/acad/math/past_projects.html I do recommend extra care be taken with any of the project papers...I remember finding mistakes in some of the older ones I read, and I vaguely remember looking back at my own a year later and being rather embarrassed by it...
Jul 9, 2010 at 12:40 comment added Bruce Westbury @Charles, No, I have not seen anything in writing. Where do I find it?
Jul 9, 2010 at 11:18 comment added Charles Siegel @Bruce, have you seen the stuff by Don O'Shea and Alan Durfee? I did an REU with them on polynomial knots four years or so ago, and we got some nice tricks for parameterizing knots starting with a knot diagram in the plane (so I guess whether this has been solved depends on what "unsatisfactory" means)
Jul 9, 2010 at 6:18 history answered Bruce Westbury CC BY-SA 2.5