An open-closed cobordism category with background space

Details An open-closed cobordism category with background space An open-closed cobordism category with background space

2009-02-04

arxiv.org/abs/0902.0705v1

Mathematics

Algebraic Topology

29 pages. To appear in AGT

Scientific paper

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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