Essential laminations and Haken normal form
type: Item
instance of: scholarly article
title: Essential laminations and Haken normal form
zbMATH Open document ID: 0838.57011
author: Mark Brittenham
published in: Pacific Journal of Mathematics
publication date: 1996-06-03T00:00:00Z
review text: It is shown that the existence of an essential lamination in a 3-manifold \(M\) with triangulation \(\tau\) implies the existence of an essential lamination which is in normal form with respect to \(\tau\), in the sense that it intersects every 3-simplex of \(\tau\) in discs which in turn intersect each 1-simplex \(\sigma\) of \(\tau\) in at most one point. The analogous result is well-known for incompressible surfaces in 3-manifolds. In contrast to incompressible surfaces, however, it is not known whether essential laminations can be isotoped into normal form. But one still gets the corollary that an essential lamination exists if and only if one is carried by one of a finite, constructible collection of normal branched surfaces.
reviewed by: Klaus Johannson
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M50
zbMATH DE Number: 812628
zbMATH Keywords: essential lamination
zbMATH Keywords: 3-manifold
MaRDI profile type: Publication
full work available at URL: pjm.1995.168.217
OpenAlex ID: W2032801512
DOI: 10.2140/PJM.1995.168.217
description: scientific article; zbMATH DE number 812628