Infinite unicorn paths and Gromov boundaries

  • Witsarut Pho-On

    University of Illinois at Urbana-Champaign, USA

Abstract

We extend the notion of unicorn paths between two arcs introduced by Hensel, Przytycki and Webb to the case where we replace one arc with a geodesic asymptotic to a lamination. Using these paths, we give new proofs of the results of Klarreich and Schleimer identifying the Gromov boundaries of the curve graph and the arc graph, respectively, as spaces of laminations.

Cite this article

Witsarut Pho-On, Infinite unicorn paths and Gromov boundaries. Groups Geom. Dyn. 11 (2017), no. 1, pp. 353–370

DOI 10.4171/GGD/399