On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
| dc.contributor.author | Jose R. Oliveira | |
| dc.date.accessioned | 2021-03-04T13:57:53Z | |
| dc.date.available | 2021-03-04T13:57:53Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham cohomology of G, in which G and M are manifolds without boundary and M is smoothly triangulated by a finite simplicial complex K such that, for each simplex ∆ of K, the inverse images of ∆ by the source and target mappings of G are transverses submanifolds in the ambient space G. As a consequence, it is shown that the piecewise de Rham cohomology of G does not depend on the triangulation of the base. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/16679 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds |