On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
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 manifold...
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Format: | Article |
Language: | English |
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Odesa National University of Technology
2020-12-01
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Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
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Online Access: | https://journals.onaft.edu.ua/index.php/geometry/article/view/1753 |