Volume 19, issue 4 (2019)

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Twisted differential cohomology

Ulrich Bunke and Thomas Nikolaus

Algebraic & Geometric Topology 19 (2019) 1631–1710

We construct multiplicative twisted versions of differential cohomology theories for all highly structured ring spectra and twists. We prove existence and give a full classification of differential refinements of twists under mild assumptions. Various concrete examples are discussed and related to earlier approaches.

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differential cohomology, twisted cohomology
Mathematical Subject Classification 2010
Primary: 55N20
Received: 6 September 2017
Revised: 30 August 2018
Accepted: 28 November 2018
Published: 16 August 2019
Ulrich Bunke
Fakultät für Mathematik
Universität Regensburg
Thomas Nikolaus
Max-Planck-Institut für Mathematik
Fachbereich Mathematik und Informatik
Universität Münster