Twistors: Bridges among 3-manifolds
type: Item
instance of: scholarly article
title: Twistors: Bridges among 3-manifolds
zbMATH Open document ID: 0886.57010
DOI: 10.1016/S0012-365X(96)00361-5
author: Sóstenes Lins
published in: Discrete Mathematics
publication date: 1998-01-26T00:00:00Z
review text: A simple configuration on bipartite 3-gems, named twistor is investigated. A twistor can be twisted in two different ways yielding two other twistors and proving simple moves internal to the class of 3-gems. The author proves this fact by recoupling twistors and by 1- and 2-dipole bridges among all orientable 3-manifolds. There is an important connection (not treated here) between this result on these combinatorial twists and the basic theorem of Lickorish that the 3-sphere can be reached from any 3-manifold by removing a finite number of disjoint solid tori and pasting them back differently. This connection will be algorithmically explored elsewhere.
reviewed by: He Baihe
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57M15
zbMATH DE Number: 1110112
zbMATH Keywords: bipartite 3-gems
MaRDI profile type: Publication
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full work available at URL: s0012-365x(96)00361-5
OpenAlex ID: W2046630703
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description: scientific article; zbMATH DE number 1110112