Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Frejlich, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209880
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids / P. Frejlich // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 32 назв. — англ.

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...