Mock Alexander Polynomials

Fuente: arXiv
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Autores principales: Gügümcü, Neslihan, Kauffman, Louis H.
Formato: Preprint
Publicado: 2024
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author Gügümcü, Neslihan
Kauffman, Louis H.
author_facet Gügümcü, Neslihan
Kauffman, Louis H.
contents In this paper, we construct mock Alexander polynomials for starred links and linkoids in surfaces. These polynomials are defined as specific sums over states of link or linkoid diagrams that satisfy $f=n$, where $f$ denotes the number of regions and $n$ denotes the number of crossings of diagrams.
format Preprint
id arxiv_https___arxiv_org_abs_2401_12654
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mock Alexander Polynomials
Gügümcü, Neslihan
Kauffman, Louis H.
Geometric Topology
Combinatorics
57M25, 57M20
In this paper, we construct mock Alexander polynomials for starred links and linkoids in surfaces. These polynomials are defined as specific sums over states of link or linkoid diagrams that satisfy $f=n$, where $f$ denotes the number of regions and $n$ denotes the number of crossings of diagrams.
title Mock Alexander Polynomials
topic Geometric Topology
Combinatorics
57M25, 57M20
url https://arxiv.org/abs/2401.12654