Morita invariance of intrinsic characteristic Classes of Lie algebroids
Fecha
2018Autor
Materia
Abstract
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), 727755], and with a connectivity assumption which we here show to be unnecessary, it appeared in [Crainic M., Comment. Math. Hel ...
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), 727755], and with a connectivity assumption which we here show to be unnecessary, it appeared in [Crainic M., Comment. Math. Helv. 78 (2003), 681721] and [Ginzburg V.L., J. Symplectic Geom. 1 (2001), 121169]. ...
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Symmetry, integrability and geometry : methods and applications. Kiev. Vol. 14 (2018) 124 12p.
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