Algebraic structure and integration maps in cocycle models for differential cohomology

Upmeier, Markus

doi:10.2140/agt.2015.15.65

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Algebraic structure and integration maps in cocycle models for differential cohomology

Markus Upmeier

Algebraic & Geometric Topology 15 (2015) 65–83

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.

Keywords

differential cohomology, generalized cohomology, higher algebraic structure, products, integration

Mathematical Subject Classification 2010

Primary: 55N20

Secondary: 55S05

References

Publication

Received: 16 August 2012

Revised: 16 February 2014

Accepted: 8 October 2014

Published: 23 March 2015

Authors

Markus Upmeier
Mathematisches Institut Universität Augsburg Universitätsstrasse 14, 86159 Augsburg Germany

Volume 15, issue 1 (2015)