Wockel, Christoph

[["dc.bibliographiccitation.firstpage","227"],["dc.bibliographiccitation.journal","Differential Geometry and its Applications"],["dc.bibliographiccitation.lastpage","276"],["dc.bibliographiccitation.volume","49"],["dc.contributor.author","Schmeding, Alexander"],["dc.contributor.author","Wockel, Christoph"],["dc.date.accessioned","2018-11-07T10:05:21Z"],["dc.date.available","2018-11-07T10:05:21Z"],["dc.date.issued","2016"],["dc.description.abstract","This paper is about the relation of the geometry of Lie groupoids over a fixed compact manifold M 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, while 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 theorem, which we heavily exploit. The main application to the prequantisation of (pre)symplectic manifolds comes from an integrability constraint of closed Lie subalgebras to closed Lie subgroups. We characterise this constraint in terms of a modified discreteness conditions on the periods of that manifold. (C) 2016 Elsevier B.V. All rights reserved."],["dc.identifier.doi","10.1016/j.difgeo.2016.07.009"],["dc.identifier.isi","000389092700013"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/38879"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Science Bv"],["dc.relation.issn","1872-6984"],["dc.relation.issn","0926-2245"],["dc.title","(Re)constructing Lie groupoids from their bisections and applications to prequantisation"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","253"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Journal of the Australian Mathematical Society"],["dc.bibliographiccitation.lastpage","276"],["dc.bibliographiccitation.volume","101"],["dc.contributor.author","Schmeding, Alexander"],["dc.contributor.author","Wockel, Christoph"],["dc.date.accessioned","2020-12-10T15:22:23Z"],["dc.date.available","2020-12-10T15:22:23Z"],["dc.date.issued","2016"],["dc.description.abstract","To a Lie groupoid over a compact base M, the associated group of bisection is an (infinite-dimensional) Lie group. Moreover, under certain circumstances one can reconstruct the Lie groupoid from its Lie group of bisections. In the present article we consider functorial aspects of these construction principles. The first observation is that this procedure is functorial (for morphisms fixing M). Moreover, it gives rise to an adjunction between the category of Lie groupoids over M and the category of Lie groups acting on M. In the last section we then show how to promote this adjunction to almost an equivalence of categories."],["dc.identifier.doi","10.1017/S1446788716000021"],["dc.identifier.eissn","1446-8107"],["dc.identifier.isi","000384645900005"],["dc.identifier.issn","1446-7887"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/73380"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Cambridge Univ Press"],["dc.relation.issn","1446-8107"],["dc.relation.issn","1446-7887"],["dc.title","FUNCTORIAL ASPECTS OF THE RECONSTRUCTION OF LIE GROUPOIDS FROM THEIR BISECTIONS"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]