On the dimension of CAT(0) spaces where mapping class groups act
Martin R. Bridson
Version of 3 August 2009 edited 12 Jan 2011. To appear in Crelle's journal
- This is a .pdf file
(15 pages, 1 figure)
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 must fix a point.