Geometric survey of subgroups of mapping class groups

Details Geometric survey of subgroups of mapping class groups Geometric survey of subgroups of mapping class groups

2007-02-14

arxiv.org/abs/math/0702428v1

Mathematics

Group Theory

26 pages. To appear in Handbook of Teichmuller Theory, Volume 1, ed. A. Papadopolous, European Math. Soc. 2007

Scientific paper

The theme of this survey is that subgroups of the mapping class group of a
finite type surface S can be studied via the geometric/dynamical properties of
their action on the Thurston compactification of the Teichmuller space of S,
just as discrete subgroups of the isometries of hyperbolic space can be studied
via their action on compactified hyperbolic space.

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