arXiv Analytics

Sign in

arXiv:1010.3174 [math.GT]AbstractReferencesReviewsResources

The geometry of the disk complex

Howard Masur, Saul Schleimer

Published 2010-10-15Version 1

We give a distance estimate for the metric on the disk complex and show that it is Gromov hyperbolic. As another application of our techniques, we find an algorithm which computes the Hempel distance of a Heegaard splitting, up to an error depending only on the genus.

Comments: 73 pages
Categories: math.GT
Subjects: 57M50
Related articles: Most relevant | Search more
arXiv:1406.1264 [math.GT] (Published 2014-06-05)
On the connectedness of subcomplexes of a disk complex
arXiv:0910.2038 [math.GT] (Published 2009-10-11)
Automorphisms of the disk complex
arXiv:1607.00532 [math.GT] (Published 2016-07-02)
Generalized Heegaard splittings and the disk complex