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arXiv · 0710.4340

Differential characters as stacks and prequantization

Eugene Lerman·Anton Malkin
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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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Eugene Lerman, Anton Malkin. 2008-07-17. Differential characters as stacks and prequantization. https://arxiv.org/abs/0710.4340

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