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arXiv · 2303.05255

A note on Real line bundles with connection and Real smooth Deligne cohomology

Peter Marius Flydal·Gereon Quick·Eirik Eik Svanes
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Abstract

We define a Real version of smooth Deligne cohomology for manifolds with involution which interpolates between equivariant sheaf cohomology and smooth imaginary-valued forms. Our main result is a classification of Real line bundles with Real connection on manifolds with involution.

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Peter Marius Flydal, Gereon Quick, Eirik Eik Svanes. 2023-03-09. A note on Real line bundles with connection and Real smooth Deligne cohomology. https://arxiv.org/abs/2303.05255

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