The geometry of the disk complex

Details The geometry of the disk complex The geometry of the disk complex

2010-10-15

arxiv.org/abs/1010.3174v1

Mathematics

Geometric Topology

73 pages

Scientific paper

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.

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