Lie groupoids of mappings taking values in a Lie groupoid

@article{Amiri2018LieGO,
  title={Lie groupoids of mappings taking values in a Lie groupoid},
  author={H. Amiri and Helge Glockner and Alexander Schmeding},
  journal={arXiv: Differential Geometry},
  year={2018}
}
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we… Expand
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