A perturbed Alexander polynomial for singular knots

Fuente: arXiv
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Main Authors: Schut, Martine, van der Veen, Roland
Format: Preprint
Published: 2024
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author Schut, Martine
van der Veen, Roland
author_facet Schut, Martine
van der Veen, Roland
contents We introduce a version of the Alexander polynomial for singular knots and tangles and show how it can be strengthened considerably by introducing a perturbation. For singular long knots, we also prove that our Alexander polynomial agrees with previous definitions.
format Preprint
id arxiv_https___arxiv_org_abs_2409_17657
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A perturbed Alexander polynomial for singular knots
Schut, Martine
van der Veen, Roland
Geometric Topology
We introduce a version of the Alexander polynomial for singular knots and tangles and show how it can be strengthened considerably by introducing a perturbation. For singular long knots, we also prove that our Alexander polynomial agrees with previous definitions.
title A perturbed Alexander polynomial for singular knots
topic Geometric Topology
url https://arxiv.org/abs/2409.17657