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

2013/03/16 by Chaohui Zhang, Zhang, Chaohui
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #math.GT

paper · pdf · doi:10.48550/arxiv.1303.4002

13 pages, 3 figures

openalex publication_date 2013/03/16 · arxiv created 2013/03/19 · arxiv updated 2013/03/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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