Hyperbolic L-space knots and their formal semigroups
Geometric Topology
2022-09-13 v2
Abstract
For an L-space knot, the formal semigroup is defined from its Alexander polynomial. It is not necessarily a semigroup. That is, it may not be closed under addition. There exists an infinite family of hyperbolic L-space knots whose formal semigroups are semigroups generated by three elements. In this paper, we give the first infinite family of hyperbolic L-space knots whose formal semigroups are semigroups generated by five elements.
Cite
@article{arxiv.2203.14450,
title = {Hyperbolic L-space knots and their formal semigroups},
author = {Masakazu Teragaito},
journal= {arXiv preprint arXiv:2203.14450},
year = {2022}
}
Comments
18 pages, 14 figures: Corrected typos and revised some points. The result is the same, but the last part of the proof of Theorem 5.1 is corrected