Classifying spaces for proper actions of mapping class groups
classification
🧮 math.AT
math.GR
keywords
actionsboundaryclassclassifyingcomponentsmappingmodelproper
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We describe a cocompact model for the classifying space for proper actions of the mapping class group of a surface with punctures and boundary components. Our construction relies on a known model for the case of a closed surface and uses an induction on the number of punctures and boundary components.
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