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2015 Algebraic structure and integration maps in cocycle models for differential cohomology
Markus Upmeier
Algebr. Geom. Topol. 15(1): 65-83 (2015). DOI: 10.2140/agt.2015.15.65

Abstract

We construct explicit multiplicative and additive structures as well as integration maps on differential extensions of rationally even cohomology theories in the Hopkins–Singer cocycle model. To this end, we consider also a pair-theory for which a long exact sequence is established.

Citation

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Markus Upmeier. "Algebraic structure and integration maps in cocycle models for differential cohomology." Algebr. Geom. Topol. 15 (1) 65 - 83, 2015. https://doi.org/10.2140/agt.2015.15.65

Information

Received: 16 August 2012; Revised: 16 February 2014; Accepted: 8 October 2014; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1312.55004
MathSciNet: MR3325732
Digital Object Identifier: 10.2140/agt.2015.15.65

Subjects:
Primary: 55N20
Secondary: 55S05

Keywords: differential cohomology , generalized cohomology , higher algebraic structure , Integration , products

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.15 • No. 1 • 2015
MSP
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