A note on Real line bundles with connection and Real smooth Deligne cohomology
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2024-06Metadata
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Flydal, P. M., Quick, G., & Svanes, E. E. (2024). A note on Real line bundles with connection and Real smooth Deligne cohomology. Acta Mathematica Vietnamica, 1-13. 10.1007/s40306-024-00538-4Abstract
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.