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Bibliographic Details
Main Authors: Maglio, Antonio, Valencia, Fabricio
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.04289
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author Maglio, Antonio
Valencia, Fabricio
author_facet Maglio, Antonio
Valencia, Fabricio
contents We define the notion of basic section of an LA-groupoid whose core-anchor map is injective. Such a notion turns out to be Morita invariant, so that it provides a simpler model for the sections of the stacky Lie algebroids presented by such LA-groupoids, yet equivalent to the well-known model provided by their multiplicative sections.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04289
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Basic sections of LA-groupoids
Maglio, Antonio
Valencia, Fabricio
Differential Geometry
22A22, 58A30
We define the notion of basic section of an LA-groupoid whose core-anchor map is injective. Such a notion turns out to be Morita invariant, so that it provides a simpler model for the sections of the stacky Lie algebroids presented by such LA-groupoids, yet equivalent to the well-known model provided by their multiplicative sections.
title Basic sections of LA-groupoids
topic Differential Geometry
22A22, 58A30
url https://arxiv.org/abs/2511.04289