Invariant geodesics in the curve complex under point-pushing pseudo-Anosov mapping classes

Abstract

Let $S$ be a closed Riemann surface of genus $p>1$ with one point removed. In this paper, we identify those point-pushing pseudo-Anosov maps on $S$ that preserve at least one bi-infinite geodesic in the curve complex.

13 pages, 3 figures

Cited by in corpus (1)

• Combinatorics of tight geodesics and stable lengths