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On the dimension of CAT(0) spaces where mapping class groups act
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Martin R. Bridson
Published/Copyright:
December 21, 2011
Abstract
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.
Received: 2010-07-22
Revised: 2011-01-12
Published Online: 2011-12-21
Published in Print: 2012-12
©[2012] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- An upper bound on the exceptional characteristics for Lusztig's character formula
- Equivariant Kählerian extensions of contact manifolds
- On the dimension of CAT(0) spaces where mapping class groups act
- Tetrahedral forms in monoidal categories and 3-manifold invariants
- Continuity of the Álvarez class under deformations
- Colocalizing subcategories and cosupport
- Dunkl operator and quantization of ℤ2-singularity
- An even unimodular 72-dimensional lattice of minimum 8
