Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids

Symmetry Integrability and Geometry-Methods and Applications

article

Pedro Frejlich¹ 

[1] UFRGS, Departamento de Matemática Pura e Aplicada

关键词: Lie algebroids;    modular class;    characteristic classes;    Morita equivalence;   

DOI  :  10.3842/SIGMA.2018.124

来源: National Academy of Science of Ukraine

【 摘 要 】

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].

【 授权许可】

Unknown