The hyperbolicity of the sphere complex via surgery paths-Reference-Cited by-同舟云学术

The hyperbolicity of the sphere complex via surgery paths

Published:2017-01-01 Issue:730 Volume:2017 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik
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Author:

Hilion Arnaud,Horbez Camille

Abstract

AbstractIn [We give a shorter alternative proof of this theorem, using surgery paths in Hatcher’s sphere complex (another model for the free splitting complex), instead of Handel and Mosher’s fold paths. As a byproduct, we get that surgery paths are unparameterized quasi-geodesics in the sphere complex.We explain how to deduce from our proof the hyperbolicity of the free factor complex and the arc complex of a surface with boundary.

Funder

Agence Nationale de la Recherche

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2014-0128/pdf

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