Integrating morphisms of Lie 2-algebras
Quantum Algebra
2019-02-20 v3 Category Theory
Differential Geometry
Abstract
We show how to integrate a weak morphism of Lie algebra crossed-modules to a weak morphism of Lie 2-groups. To do so we develop a theory of butterflies for 2-term L_infty algebras. In particular, we obtain a new description of the bicategory of 2-term L_infty algebras. We use butterflies to give a functorial construction of connected covers of Lie 2-groups. We also discuss the notion of homotopy fiber of a morphism of 2-term L_infty algebras.
Cite
@article{arxiv.0910.1818,
title = {Integrating morphisms of Lie 2-algebras},
author = {Behrang Noohi},
journal= {arXiv preprint arXiv:0910.1818},
year = {2019}
}
Comments
discussion of connected covers of Lie 2-groups expanded, 26 pages