On the flux of pseudo-Anosov homeomorphisms

Vincent Colin (1) , Ko Honda (2) , Francois Laudenbach (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 Department of Mathematics

We exhibit a pseudo-Anosov homeomorphism of a surface S which acts trivially on the first homology group of S and whose flux is non zero

Mots clés: pseudo-Anosov; flux; Reeb vector field; contact homology; open book decomposition

Domaines: Géométrie symplectique [math.SG]; Topologie géométrique [math.GT]

Vincent Colin, Ko Honda, Francois Laudenbach. On the flux of pseudo-Anosov homeomorphisms. Algebraic and Geometric Topology, 2008, 8 (4), pp.2147-2160. ⟨hal-00319514v2⟩