Morita invariance of intrinsic characteristic Classes of Lie algebroids
In this note, we prove that intrinsic characteristic classes of Lie algebroids { which in degree one recover the modular class { behave functorially with respect to arbitrary transverse maps, and in particular are weak Morita invariants. In the modular case, this result appeared in [Kosmann-Schwarzb...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Brasil |
| Institución: | Universidade Federal do Rio Grande do Sul (UFRGS) |
| Repositorio: | Repositório Institucional da UFRGS |
| Idioma: | inglés |
| OAI Identifier: | oai:www.lume.ufrgs.br:10183/194947 |
| Acceso en línea: | http://hdl.handle.net/10183/194947 |
| Access Level: | acceso abierto |
| Palabra clave: | Álgebras de Lie Algebra Lie algebroids Modular class Characteristic classes Morita equivalence |
| Sumario: | In this note, we prove that intrinsic characteristic classes of Lie algebroids { which in degree one recover the modular class { behave functorially with respect to arbitrary transverse maps, and in particular are weak Morita invariants. In the modular case, this result appeared in [Kosmann-Schwarzbach Y., Laurent-Gengoux C., Weinstein A., Trans- form. Groups 13 (2008), 727{755], and with a connectivity assumption which we here show to be unnecessary, it appeared in [Crainic M., Comment. Math. Helv. 78 (2003), 681{721] and [Ginzburg V.L., J. Symplectic Geom. 1 (2001), 121{169]. |
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