微分群胚范畴内李群胚的双范畴
微分几何
2026-01-29 v4 范畴论
摘要
我们从anafunctor的视角考虑微分群胚的2-范畴在弱等价下的局部化，并借助这一语言证明李群胚的2-范畴的局部化是微分群胚的2-范畴局部化的一个本质满子双范畴。特别地，我们肯定地解决了如下开放问题：两个微分意义上Morita等价的李群胚是否在通常的李意义下也是Morita等价的。
引用
@article{arxiv.2206.12730,
title = {The Bicategory of Lie Groupoids within Diffeological Groupoids},
author = {Jordan Watts},
journal= {arXiv preprint arXiv:2206.12730},
year = {2026}
}
备注
30 pages; v4 has a new subsection on foliations and minor edits; v3 is a condensed version of v2, focusing on anafunctors and bibundles and new results, but without the bicategorical detail; v2 (84 pages) is essentially the same as v1 with some small modifications to the introduction and typographical corrections. To appear in the Journal of Geometry & Physics