On the local Kan structure and differentiation of simplicial manifolds
Differential Geometry
2024-11-12 v2
Abstract
We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in current research to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Keywords
Cite
@article{arxiv.2402.07857,
title = {On the local Kan structure and differentiation of simplicial manifolds},
author = {Florian Dorsch},
journal= {arXiv preprint arXiv:2402.07857},
year = {2024}
}