Re)constructing Lie groupoids from their bisections and applications to prequantisation

@article{Schmeding2015ReconstructingLG,
  title={Re)constructing Lie groupoids from their bisections and applications to prequantisation},
  author={Alexander Schmeding and Christoph Wockel},
  journal={arXiv: Differential Geometry},
  year={2015}
}
This paper is about the relation of the geometry of Lie groupoids over a fixed compact manifold and the geometry of their (infinite-dimensional) bisection Lie groups. In the first part of the paper we investigate the relation of the bisections to a given Lie groupoid, where the second part is about the construction of Lie groupoids from candidates for their bisection Lie groups. The procedure of this second part becomes feasible due to some recent progress in the infinite-dimensional Frobenius… Expand
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