Curve complexes are rigid

Details Curve complexes are rigid Curve complexes are rigid

2007-10-19

arxiv.org/abs/0710.3794v2

Mathematics

Geometric Topology

20 pages, two figures, revised to reflect referee comments

Scientific paper

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.

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