Geodesic
The proper geometric dimension of the mapping class group
Aramayona, Javier1 ; Martínez-Pérez, Conchita2
1School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, University Road, Galway, Ireland
2Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 217-227
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We show that the mapping class group of a closed surface admits a cocompact classifying space for proper actions of dimension equal to its virtual cohomological dimension.

DOI : 10.2140/agt.2014.14.217
Classification : 20F34, 20F65, 20J05
Keywords: mapping class groups, classifying space for proper actions, cohomological dimension

Aramayona, Javier  1   ; Martínez-Pérez, Conchita  2

1 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, University Road, Galway, Ireland
2 Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain 
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Aramayona, Javier; Martínez-Pérez, Conchita. The proper geometric dimension of the mapping class group. Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 217-227. doi: 10.2140/agt.2014.14.217

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