On the dimension of CAT(0) spaces where mapping class groups act

Details On the dimension of CAT(0) spaces where mapping class groups act On the dimension of CAT(0) spaces where mapping class groups act

2009-08-05

arxiv.org/abs/0908.0690v2

Mathematics

General Topology

14 pages, 1 figure. Minor edits following referee's comments. To appear in Crelle's journal

Scientific paper

Whenever the mapping class group of a closed orientable surface of genus g
acts by semisimple isometries on a complete CAT(0) space of dimension less than
g it fixes a point.

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