Geodesic
Infinite unicorn paths and Gromov boundaries
Witsarut Pho-On1
1University of Illinois at Urbana-Champaign, USA
Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 353-370

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DOI

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.
DOI : 10.4171/ggd/399
Classification : 20-XX
Mots-clés : Curve graph, arc graph, surface, Gromov boundary, lamination, unicorn

Witsarut Pho-On  1

1 University of Illinois at Urbana-Champaign, USA 
Witsarut Pho-On. Infinite unicorn paths and Gromov boundaries. Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 353-370. doi: 10.4171/ggd/399
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     year = {2017},
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     number = {1},
     doi = {10.4171/ggd/399},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/399/}
}
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