Geodesic
An open-closed cobordism category with background space
Hanbury, Elizabeth1
1 Department of Mathematics, University of Durham, Science Laboratories, South Road, Durham DH1 3LE, UK
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 833-863

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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.

DOI : 10.2140/agt.2009.9.833
Keywords: cobordism category, mapping class group, homological stability, infinite loop space

Hanbury, Elizabeth 1

1 Department of Mathematics, University of Durham, Science Laboratories, South Road, Durham DH1 3LE, UK 
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Hanbury, Elizabeth. An open-closed cobordism category with background space. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 833-863. doi: 10.2140/agt.2009.9.833

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