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On piecewise smooth cohomology of Lie gr...

Oliveira, Jose M. R...

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On piecewise smooth cohomology of Lie groupoids and Lie algebroids by Oliveira, Jose M. R ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	Mishchenko's theorem states that piecewise smooth and Lie algebroid cohomology of a transitive Lie algebroid defined over a combinatorial manifold are isomorphic. In this paper, we describe two applications of that result. The first application consists in the relationship between piecewise de Rham cohomology of a Lie groupoid and piecewise smooth cohomology of its Lie algebroid. For the second application, we combine the classical result dealing with invariant cohomology in Lie algebroids with the Mishchenko's theorem.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1203.6699

Citation

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AMA 11th EditionReferences

Oliveira, Jose M. R. On piecewise smooth cohomology of Lie groupoids and Lie algebroids. Australian National University. July 27, 2023. Accessed August 09, 2025. https://online.provdatabase.com/cite/5378

APA 7th EditionReferences

Oliveira, Jose M. R. (2023). On piecewise smooth cohomology of Lie groupoids and Lie algebroids. Australian National University. https://online.provdatabase.com/cite/5378

Chicago 17th EditionReferences

Oliveira, Jose M. R. On piecewise smooth cohomology of Lie groupoids and Lie algebroids. Australian National University. 2023. https://online.provdatabase.com/cite/5378

HarvardReferences

Oliveira, Jose M. R. (2023). On piecewise smooth cohomology of Lie groupoids and Lie algebroids. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5378. (Accessed 09 August 2025).

Harvard AustraliaReferences

Oliveira, Jose M. R, 2023, On piecewise smooth cohomology of Lie groupoids and Lie algebroids, Australian National University, viewed 09 August 2025, <https://online.provdatabase.com/cite/5378>

MLA 9th EditionWorks Cited

Oliveira, Jose M. R. On piecewise smooth cohomology of Lie groupoids and Lie algebroids. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5378.

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