The geometry of right angled Artin subgroups of mapping class groups release_46jm3ltaofabtfxfzo4idi4mgy

by Matt Clay, Christopher J. Leininger, Johanna Mangahas

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We describe sufficient conditions which guarantee that a finite set of mapping classes generate a right-angled Artin group quasi-isometrically embedded in the mapping class group. Moreover, under these conditions, the orbit map to Teichmuller space is a quasi-isometric embedding for both of the standard metrics. As a consequence, we produce infinitely many genus h surfaces (for any h at least 2) in the moduli space of genus g surfaces (for any g at least 3) for which the universal covers are quasi-isometrically embedded in the Teichmuller space.
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Type  article
Stage   submitted
Date   2010-07-07
Version   v1
Language   en ?
arXiv  1007.1129v1
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