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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

   
 
 

 

Getting a handle on the Conway knot


Author: Jennifer Hom
Journal: Bull. Amer. Math. Soc. 59 (2022), 19-29
MSC (2020): Primary 57K10
DOI: https://doi.org/10.1090/bull/1745
Published electronically: September 13, 2021
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Abstract: A knot is said to be slice if it bounds a smooth disk in the 4-ball. For 50 years, it was unknown whether a certain 11 crossing knot, called the Conway knot, was slice or not, and until recently, this was the only one of the thousands of knots with fewer than 13 crossings whose slice-status remained a mystery. We will describe Lisa Piccirillo’s proof that the Conway knot is not slice. The main idea of her proof is given in the title of this article.


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Additional Information

Jennifer Hom
Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia
MR Author ID: 923914
ORCID: 0000-0003-4839-8276
Email: hom@math.gatech.edu

Received by editor(s): June 8, 2021
Published electronically: September 13, 2021
Additional Notes: The author was partially supported by NSF grant DMS-1552285.
Article copyright: © Copyright 2021 Jennifer Hom