Algebraic & Geometric Topology Volume 8, issue 4 (2008)

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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

DOI: 10.2140/agt.2008.8.2147

Abstract

We exhibit a pseudo-Anosov homeomorphism of a surface $S$ which acts trivially on $H_{1} (S; ℤ)$ 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