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

DOI10.1016/J.DIFGEO.2016.07.009zbMath1358.58011arXiv1506.05415OpenAlexW1665342927WikidataQ115355638 ScholiaQ115355638MaRDI QIDQ344177

Christoph Wockel, Alexander Schmeding

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05415

zbMATH Keywords

Lie groupoidglobal analysismapping spacebisectionhomotopy groups of diffeomorphism groupsinfinite-dimensional Lie groupprequantisation

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group actions and symmetry properties (58D19) Pseudogroups and differentiable groupoids (58H05) Homotopy groups of topological groups and homogeneous spaces (57T20) Manifolds of mappings (46T10)

Related Items (8)

Strong topologies for spaces of smooth maps with infinite-dimensional target ⋮ Linking Lie groupoid representations and representations of infinite-dimensional Lie groups ⋮ Unitary group orbits versus groupoid orbits of normal operators ⋮ Banach-Lie groupoids and generalized inversion ⋮ Lie groupoids of mappings taking values in a Lie groupoid ⋮ A differentiable monoid of smooth maps on Lie groupoids ⋮ Lie rackoids integrating Courant algebroids ⋮ The Lie group of vertical bisections of a regular Lie groupoid

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