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A fast convergence theorem for nearly mu...

Trentinaglia, Giorgi...

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A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids by Trentinaglia, Giorgio ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	Motivated by the study of a certain family of classical geometric problems we investigate the existence of multiplicative connections on proper Lie groupoids. We show that one can always deform a given connection which is only approximately multiplicative into a genuinely multiplicative connection. The proof of this fact that we present here relies on a recursive averaging technique. As an application we point out that the study of multiplicative connections on general proper Lie groupoids reduces to the study of longitudinal representations of regular groupoids. We regard our results as a preliminary step towards the elaboration of an obstruction theory for multiplicative connections.
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/1403.2071

Citation

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AMA 11th EditionReferences

Trentinaglia, Giorgio. A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23218

APA 7th EditionReferences

Trentinaglia, Giorgio. (2023). A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids. Australian National University. https://online.provdatabase.com/cite/23218

Chicago 17th EditionReferences

Trentinaglia, Giorgio. A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids. Australian National University. 2023. https://online.provdatabase.com/cite/23218

HarvardReferences

Trentinaglia, Giorgio. (2023). A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23218. (Accessed 20 September 2024).

Harvard AustraliaReferences

Trentinaglia, Giorgio, 2023, A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23218>

MLA 9th EditionWorks Cited

Trentinaglia, Giorgio. A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23218.

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