On Heegaard diagrams
type: Item
instance of: scholarly article
title: On Heegaard diagrams
zbMATH Open document ID: 0887.57022
author: Feng Luo
published in: Mathematical Research Letters
publication date: 1997-08-28T00:00:00Z
review text: Let \(h\) be a homeomorphism of a handlebody \(H\) to itself. If the restriction of \(h\) to the boundary \(\partial H\) of \(H\) is a product of Dehn twists along a system of pairwise disjoint curves in \(H\), then it is shown that every one of the curves must bound a disc in \(H\). In particular, \(h\) itself is then a product of Dehn twists along discs. This result is proved by showing that every marking of a closed surface can be transformed, using Hatcher-Thurston moves alone, into a waveless position with respect to any fixed marking.
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 1053515
zbMATH Keywords: handlebody
zbMATH Keywords: Dehn twists
zbMATH Keywords: marking of a closed surface
reviewed by: Klaus Johannson
MaRDI profile type: Publication
full work available at URL: mrl.1997.v4.n3.a5
OpenAlex ID: W2325621617
DOI: 10.4310/MRL.1997.V4.N3.A5
description: scientific article; zbMATH DE number 1053515