Conway,s Knot
المؤلف:
Conway, J. H.
المصدر:
"An Enumeration of Knots and Links." In Computational Problems in Abstract Algebra (Ed. J. Leech). Oxford, England: Pergamon Press
الجزء والصفحة:
...
20-6-2021
5312
Conway's Knot
Conway's knot is the prime knot on 11 crossings with braid word
The Jones polynomial of Conway's knot is
which is the same as for the Kinoshita-Terasaka knot.
Conway's knot is not a slice knot (Delbert 2020, Klarreich 2020, Piccirillo 2020).
REFERENCES:
Conway, J. H. "An Enumeration of Knots and Links." In Computational Problems in Abstract Algebra (Ed. J. Leech). Oxford, England: Pergamon Press, pp. 329-358, 1970.
Cromwell, P. Knots and Links. Cambridge, England: Cambridge University Press, pp. 180-181, 2004.
Delbert, C. "Young Mathematician Solves Old, Famous Knot Problem in Barely a Week." Popular Mechanics. May 22, 2020. https://www.popularmechanics.com/science/a32635156/conway-knot-problem-solved/.
Klarreich, E. "A Grad Student Solved the Epic Conway Knot Problem--in a Week." Quanta. May 19, 2020. https://www.quantamagazine.org/graduate-student-solves-decades-old-conway-knot-problem-20200519/.
Montesinos, J. "Surgery on Links and Double Branched Covers of 
." In Knots, Groups, and 3-Manifolds: Papers dedicated to the memory of R. H. Fox (Ed. L. P. Neuwerth). Princeton, NJ: Princeton University Press, pp. 227-259, 1975.
Piccirillo, L. "The Conway Knot Is Not Slice." Ann. Math. 191, 581-591, 2020.
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 173, 1976.
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