Upper bound on distance in the pants complex

Details Upper bound on distance in the pants complex Upper bound on distance in the pants complex

2011-09-13

arxiv.org/abs/1109.2952v3

Mathematics

Geometric Topology

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Scientific paper

The purpose of this paper is to establish an upper bound on the distance
between two pants decompositions in the pants complex for a closed surface of
genus g >= 2. This is done by use of graph theory. First distance is found in
the pants graph modulo the action of the mapping class group, and then between
pants decompositions within an orbit of this action.

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