Slice-torus link invariants, combinatorial invariants, and positivity conditions
Geometric Topology
2023-11-14 v3
Abstract
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quasi-positive, positive, or the closure of a positive braid. The main applications of our results are a characterisation of positive links with unlinking number and , and a combinatorial criterion to test if a positive link is the closure of a positive braid. Finally, we compile a table of all positive and positive-braid prime links with less than crossings.
Keywords
Cite
@article{arxiv.2008.06921,
title = {Slice-torus link invariants, combinatorial invariants, and positivity conditions},
author = {Carlo Collari},
journal= {arXiv preprint arXiv:2008.06921},
year = {2023}
}
Comments
20 pages, 7 figures, 1 Table. Some small aesthetic changes, small typos fixed, and exposition improved. Added table of positive and braid-positive links with less than 8 crossings. Accepted by the Bulletin of the London Mathematical Society. Comments are welcome!