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arXiv:0710.3794 [math.GT]AbstractReferencesReviewsResources

Curve complexes are rigid

Kasra Rafi, Saul Schleimer

Published 2007-10-19, updated 2010-05-12Version 2

Any quasi-isometry of the complex of curves is bounded distance from a simplicial automorphism. As a consequence, the quasi-isometry type of the curve complex determines the homeomorphism type of the surface.

Comments: 20 pages, two figures, revised to reflect referee comments
Categories: math.GT
Subjects: 57M50, 51M10, 20F65
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