English

An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n, 4)$

Geometric Topology 2022-12-27 v1

Abstract

An explicit formula for the AA-polynomial of the knot having Conway's notation C(2n,4)C(2n,4) is computed up to repeated factors. Our polynomial contains exactly the same irreducible factors as the AA-polynomial defined in~\cite{CCGLS1}.

Keywords

Cite

@article{arxiv.2212.12985,
  title  = {An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n, 4)$},
  author = {Ji-Young Ham and Joongul Lee},
  journal= {arXiv preprint arXiv:2212.12985},
  year   = {2022}
}

Comments

17 pages, 2 figures, To appear in Topology and its Applications