A note on Real line bundles with connection and Real smooth Deligne cohomology
Differential Geometry
2023-12-11 v2 Mathematical Physics
Algebraic Topology
math.MP
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.
Keywords
Cite
@article{arxiv.2303.05255,
title = {A note on Real line bundles with connection and Real smooth Deligne cohomology},
author = {Peter Marius Flydal and Gereon Quick and Eirik Eik Svanes},
journal= {arXiv preprint arXiv:2303.05255},
year = {2023}
}
Comments
13 pages, minor revision, final version, accepted for publication in AMV