Differential characters as stacks and prequantization
classification
🧮 math.DG
math.RTmath.SG
keywords
prequantizationstacksapproachatlas-independentbijectionbundlescertainchain
read the original abstract
We generalize geometric prequantization of symplectic manifolds to differentiable stacks. Our approach is atlas-independent and provides a bijection between isomorphism classes of principal circle bundles (with or without connections) and second cohomology groups of certain chain complexes.
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