English

Basic sections of LA-groupoids

Differential Geometry 2025-11-07 v1

Abstract

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.

Cite

@article{arxiv.2511.04289,
  title  = {Basic sections of LA-groupoids},
  author = {Antonio Maglio and Fabricio Valencia},
  journal= {arXiv preprint arXiv:2511.04289},
  year   = {2025}
}

Comments

13 pages. Comments are welcome

R2 v1 2026-07-01T07:24:26.859Z