A note on Real line bundles with connection and Real smooth Deligne cohomology
Peer reviewed, Journal article
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Date
2024Metadata
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- Institutt for matematiske fag [2397]
- Publikasjoner fra CRIStin - NTNU [37703]
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.