Differential characters as stacks and prequantization
Differential Geometry
2008-07-17 v2 Representation Theory
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.0710.4340,
title = {Differential characters as stacks and prequantization},
author = {Eugene Lerman and Anton Malkin},
journal= {arXiv preprint arXiv:0710.4340},
year = {2008}
}