On the dimension of CAT(0) spaces where mapping class groups act
classification
🧮 math.GN
math.GRmath.GT
keywords
classdimensionmappingactsclosedcompletefixesgenus
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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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