Pseudo-Anosov homeomorphisms not arising from branched covers

  • Christopher J. Leininger

    University of Illinois at Urbana-Champaign, Urbana, USA
  • Alan W. Reid

    Rice University, Houston, USA
Pseudo-Anosov homeomorphisms not arising from branched covers cover

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Abstract

In this paper we provide a negative answer to a question of Farb about the relation between the algebraic degree of the stretch factor of a pseudo-Anosov homeomorphism and the genus of the surface on which it is defined.

Cite this article

Christopher J. Leininger, Alan W. Reid, Pseudo-Anosov homeomorphisms not arising from branched covers. Groups Geom. Dyn. 14 (2020), no. 1, pp. 151–175

DOI 10.4171/GGD/539