Differential characters as stacks and prequantization

Details Differential characters as stacks and prequantization Differential characters as stacks and prequantization

2007-10-23

arxiv.org/abs/0710.4340v2

Mathematics

Differential Geometry

Scientific paper

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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