A Markov theorem for plat closure of surface braids in Dunwoody and periodic Takahashi manifolds

Autor:	Cattabriga, Alessia, Cavicchioli, Paolo
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology 57K10 57K30 57-08 57-04
Druh dokumentu:	Working Paper
Popis:	In this article we deal with the problem of finding equivalence moves for links in Dunwoody and periodic Takahashi manifolds. We represent these manifolds using Heegaard splitting and we represent the embedded links as plat closure of elements in the braid group of the corresponding Heegaard surfaces. More precisely, starting from an open Heegaard diagram for such manifolds, we determine the plat slide equivalence moves algorithmically and compute them explicitly in some cases. Comment: 12 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.17962 Zobrazit plný text záznamu View this record from Arxiv