A conjugacy class counting in Teichmuller space

Abstract

Let $\gamma$ be a pseudo-Anosov homeomorphism and $X$ an element of the Teichmuller space of a genus $g$ surface. In this paper, we find asymptotics for the number of pseudo-Anosov homeomorphisms that are conjugate to $\gamma$ and the axis of their action on Teichmuller space intersects the ball of radius $R$ centered at $X$, as $R$ tends to infinity.

22 pages, 2 figures

References in corpus (1)

• Lattice Point Asymptotics and Volume Growth on Teichmuller space