An open-closed cobordism category with background space
classification
🧮 math.AT
keywords
spacebackgroundcategorycobordismopen-closedcertainclassclasses
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In this paper we introduce an open-closed cobordism category with maps to a background space. We identify the classifying space of this category for certain classes of background space. The key ingredient is the homology stability of mapping class groups with twisted coefficients.
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