## Getting a handle on the Conway knot

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Jennifer Hom
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**59**(2022), 19-29

## 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.## References

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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.
- © Copyright 2021 Jennifer Hom
- Journal: Bull. Amer. Math. Soc.
**59**(2022), 19-29 - MSC (2020): Primary 57K10
- DOI: https://doi.org/10.1090/bull/1745
- MathSciNet review: 4340825