Singular twisted links and singular twisted virtual braids

Fuente: arXiv
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Autores principales: Negi, Komal, Prabhakar, Madeti
Formato: Preprint
Publicado: 2024
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author Negi, Komal
Prabhakar, Madeti
author_facet Negi, Komal
Prabhakar, Madeti
contents The concepts of twisted knot theory and singular knot theory inspire the introduction of singular twisted knot theory. This study showcases similar findings for singular twisted links, including the Alexander theorem and the Markov theorem derived from knot theory. Moreover, in this paper we define singular twisted virtual braids and their monoid structure. Additionally, we provide both a monoid and a reduced monoid presentation for singular twisted virtual braids.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17383
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Singular twisted links and singular twisted virtual braids
Negi, Komal
Prabhakar, Madeti
Geometric Topology
57K10, 57K12, 57M15
The concepts of twisted knot theory and singular knot theory inspire the introduction of singular twisted knot theory. This study showcases similar findings for singular twisted links, including the Alexander theorem and the Markov theorem derived from knot theory. Moreover, in this paper we define singular twisted virtual braids and their monoid structure. Additionally, we provide both a monoid and a reduced monoid presentation for singular twisted virtual braids.
title Singular twisted links and singular twisted virtual braids
topic Geometric Topology
57K10, 57K12, 57M15
url https://arxiv.org/abs/2403.17383