Twisted differential cohomology

Ulrich Bunke; Thomas Nikolaus

doi:10.2140/agt.2019.19.1631

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Home > Journals > Algebr. Geom. Topol. > Volume 19 > Issue 4 > Article

2019 Twisted differential cohomology

Ulrich Bunke, Thomas Nikolaus

Algebr. Geom. Topol. 19(4): 1631-1710 (2019). DOI: 10.2140/agt.2019.19.1631

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Abstract

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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Ulrich Bunke. Thomas Nikolaus. "Twisted differential cohomology." Algebr. Geom. Topol. 19 (4) 1631 - 1710, 2019. https://doi.org/10.2140/agt.2019.19.1631