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On the cosmetic crossing conjecture for special alternating links.
- Source :
- Proceedings of the American Mathematical Society, Series B; 8/23/2023, Vol. 10, p288-295, 8p
- Publication Year :
- 2023
-
Abstract
- We prove that a family of links, which includes all special alternating knots, does not admit non-nugatory crossing changes which preserve the isotopy type of the link. Our proof incorporates a result of Lidman and Moore [Trans. Amer. Math. Soc. 369 (2017), pp. 3639–3654] on crossing changes to knots with L-space branched double-covers, as well as tools from Scharlemann and Thompson's [Comment. Math. Helv. 64 (1989), pp. 527–535] proof of the cosmetic crossing conjecture for the unknot. [ABSTRACT FROM AUTHOR]
- Subjects :
- LOGICAL prediction
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 23301511
- Volume :
- 10
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society, Series B
- Publication Type :
- Academic Journal
- Accession number :
- 170080810
- Full Text :
- https://doi.org/10.1090/bproc/184