Affiliation:
1. Department of Mathematic Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 7398524, Japan
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.
Funder
Japan Society for the Promotion of Science
Publisher
World Scientific Pub Co Pte Ltd