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On the flux of pseudo-Anosov homeomorphisms

Vincent Colin, Ko Honda and François Laudenbach

Algebraic & Geometric Topology 8 (2008) 2147–2160
Abstract

We exhibit a pseudo-Anosov homeomorphism of a surface S which acts trivially on H1(S; ) and whose flux is nonzero.

Keywords
pseudo-Anosov, flux, Reeb vector field, contact homology, open book decomposition
Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 53C15
References
Publication
Received: 8 September 2008
Accepted: 25 October 2008
Published: 19 November 2008
Authors
Vincent Colin
Université de Nantes UMR 6629 du CNRS
Laboratoire de mathématiques Jean Leray
2 rue de la Houssinière
Nantes, 44322
France
http://www.math.sciences.univ-nantes.fr/~vcolin/
Ko Honda
University of Southern California
Department of Mathematics
3620 S Vermont Ave
Los Angeles, California 90089
USA
http://rcf.usc.edu/~khonda
François Laudenbach
Université de Nantes UMR 6629 du CNRS
Laboratoire de mathématiques Jean Leray
2 rue de la Houssinière
Nantes, 44322
France