Expanding factors for pseudo-Anosov homeomorphisms
type: Item
instance of: scholarly article
title: Expanding factors for pseudo-Anosov homeomorphisms
zbMATH Open document ID: 0987.37017
author: E. Rykken
published in: Michigan Mathematical Journal
publication date: 2001-01-01T00:00:00Z
review text: Let \(f : M \rightarrow M\) be a pseudo-Anosov homeomorphism on an orientable surface of genus \(g\) with oriented unstable manifolds. Let \(\mathcal P\) be a Markov partition for \(f\) with Markov matrix \(A\). If \(f\) preserves the orientation of unstable manifolds, then the eigenvalues of \(f_{*1} : H_1(M,R) \rightarrow H_1(M,R)\) are the same as those of \(A\) including multiplicity, with the possible exception of some zeros and roots of unity.
reviewed by: Jerzy Ombach
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37E30
zbMATH DE Number: 1548315
zbMATH Keywords: pseudo-Anosov homeomorphism
zbMATH Keywords: Markov partition
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1030132411
OpenAlex ID: W1966566181
DOI: 10.1307/MMJ/1030132411
description: scientific article; zbMATH DE number 1548315