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- Title
A new condition on the Jones polynomial of a fibered positive link.
- Authors
Buchanan, Lizzie
- Abstract
We give a new upper bound on the maximum degree of the Jones polynomial of a fibered positive link. In particular, we prove that the maximum degree of the Jones polynomial of a fibered positive knot is at most four times the minimum degree. Using this result, we can complete the classification of all knots of crossing number ≤ 1 2 as positive or not positive, by showing that the seven remaining knots for which positivity was unknown are not positive. That classification was also done independently at around the same time by Stoimenow.
- Subjects
POLYNOMIALS; KNOT theory; OPTIMISM; CLASSIFICATION
- Publication
Journal of Knot Theory & Its Ramifications, 2023, Vol 32, Issue 14, p1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216523500797