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2009 An open-closed cobordism category with background space
Elizabeth Hanbury
Algebr. Geom. Topol. 9(2): 833-863 (2009). DOI: 10.2140/agt.2009.9.833

Abstract

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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Elizabeth Hanbury. "An open-closed cobordism category with background space." Algebr. Geom. Topol. 9 (2) 833 - 863, 2009. https://doi.org/10.2140/agt.2009.9.833

Information

Received: 2 July 2008; Revised: 29 November 2008; Accepted: 19 December 2008; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1185.55012
MathSciNet: MR2505127
Digital Object Identifier: 10.2140/agt.2009.9.833

Subjects:
Primary: 55P47, 57M99, 57R50

Rights: Copyright © 2009 Mathematical Sciences Publishers

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