On the $S$-equivalence for Genus One Knots

Fuente: arXiv
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Autores principales: Liu, Ziyi, Wang, Jun
Formato: Preprint
Publicado: 2026
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author Liu, Ziyi
Wang, Jun
author_facet Liu, Ziyi
Wang, Jun
contents In this paper, we construct a sequence of genus one knots that are both S-equivalent, yet can be distinguished by the Jones polynomial. This is related to the problem 1.6 in Kirby's problem list (K3).
format Preprint
id arxiv_https___arxiv_org_abs_2605_25309
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the $S$-equivalence for Genus One Knots
Liu, Ziyi
Wang, Jun
Geometric Topology
57K10, 57K14
In this paper, we construct a sequence of genus one knots that are both S-equivalent, yet can be distinguished by the Jones polynomial. This is related to the problem 1.6 in Kirby's problem list (K3).
title On the $S$-equivalence for Genus One Knots
topic Geometric Topology
57K10, 57K14
url https://arxiv.org/abs/2605.25309