Growth of pseudo-Anosov conjugacy classes in Teichmüller space

  • Jiawei Han

    Vanderbilt University, Nashville, USA
Growth of pseudo-Anosov conjugacy classes in Teichmüller space cover
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Abstract

Athreya, Bufetov, Eskin and Mirzakhani (2012) have shown that the number of mapping class group lattice points intersecting a closed ball of radius in Teichmüller space is asymptotic to , where is the dimension of the Teichmüller space. We show for any pseudo-Anosov mapping class , there exists a power , such that the number of lattice points of the conjugacy class intersecting a closed ball of radius is coarsely asymptotic to .

Cite this article

Jiawei Han, Growth of pseudo-Anosov conjugacy classes in Teichmüller space. Groups Geom. Dyn. 17 (2023), no. 3, pp. 1073–1083

DOI 10.4171/GGD/724