English

Coordinates for non-integrable Lie algebroids

Differential Geometry 2021-06-24 v1

Abstract

We construct local coordinates for the Weinstein groupoid of a non-integrable Lie algebroid. To this end, we reformulate the notion of bi-submersion in a completely algebraic way and prove the existence of bi-submersions as such for the Weinstein groupoid. This implies that a CC^*-algebra can be attached to every Lie algebroid.

Keywords

Cite

@article{arxiv.2106.12002,
  title  = {Coordinates for non-integrable Lie algebroids},
  author = {Iakovos Androulidakis},
  journal= {arXiv preprint arXiv:2106.12002},
  year   = {2021}
}

Comments

27 pages

R2 v1 2026-06-24T03:29:02.341Z