Twisted differential cohomology
Algebraic and Geometric Topology, Tome 19 (2019) no. 4, pp. 1631-1710

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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.

DOI : 10.2140/agt.2019.19.1631
Classification : 55N20
Keywords: differential cohomology, twisted cohomology

Bunke, Ulrich 1 ; Nikolaus, Thomas 2

1 Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany
2 Max-Planck-Institut für Mathematik, Bonn, Germany, Fachbereich Mathematik und Informatik, Universität Münster, Münster, Germany
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Bunke, Ulrich; Nikolaus, Thomas. Twisted differential cohomology. Algebraic and Geometric Topology, Tome 19 (2019) no. 4, pp. 1631-1710. doi: 10.2140/agt.2019.19.1631

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