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Abstract
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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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Keywords
differential cohomology, twisted cohomology
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Mathematical Subject Classification 2010
Primary: 55N20
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Publication
Received: 6 September 2017
Revised: 30 August 2018
Accepted: 28 November 2018
Published: 16 August 2019
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