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Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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., Transform. 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].
Keywords: Lie algebroids; modular class; characteristic classes; Morita equivalence. 
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     author = {Pedro Frejlich},
     title = {Morita {Invariance} of {Intrinsic} {Characteristic} {Classes} of {Lie} {Algebroids}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2018},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a123/}
}
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Pedro Frejlich. Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a123/

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