Masakazu Teragaito
Published 2022-03-28Version 1
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.
Comments: 17 pages, 14 figures
$\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds
Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial
Log-concavity of the Alexander polynomial
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