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Conway knot

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Conway knot
Conway knot emblem on a closed gate of mathematics department of University of Cambridge.

In mathematics, in particular knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named after John Horton Conway.[1] It is related by mutation to the Kinoshita–Terasaka knot.[2]

The long-unsolved issue of the sliceness of the Conway knot was resolved in 2020 by Lisa Piccirillo.[3][4]

References

  1. ^ Weisstein, Eric W. "Conway's Knot". mathworld.wolfram.com. Retrieved 2020-05-19.
  2. ^ "Mutant Knots" (PDF). 2007.{{cite web}}: CS1 maint: url-status (link)
  3. ^ Klarreich, Erica. "Graduate Student Solves Decades-Old Conway Knot Problem". Quanta Magazine. Retrieved 2020-05-19.
  4. ^ Piccirillo, Lisa (2020). "The Conway knot is not slice". Annals of Mathematics. 191 (2): 581–591. doi:10.4007/annals.2020.191.2.5. JSTOR 10.4007/annals.2020.191.2.5.