Linearly Bounded Conjugator Property for Mapping Class Groups

Details Linearly Bounded Conjugator Property for Mapping Class Groups Linearly Bounded Conjugator Property for Mapping Class Groups

2011-06-12

arxiv.org/abs/1106.2341v2

Mathematics

Geometric Topology

40 pages, 3 figures. Minor revisions; added an example

Scientific paper

Given two conjugate mapping classes f and g, we produce a conjugating element
w such that |w| < K(|f|+|g|), where |.| denotes the word metric with respect to
a fixed generating set, and K is a constant depending only on the generating
set. As a consequence, the conjugacy problem for mapping class groups is
exponentially bounded.

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