Representing the deformation $\infty$-groupoid
Algebraic Topology
2019-05-29 v3 Category Theory
Quantum Algebra
Abstract
The goal of the present paper is to introduce a smaller, but equivalent version of the Deligne-Hinich-Getzler -groupoid associated to a homotopy Lie algebra. In the case of differential graded Lie algebras, we represent it by a universal cosimplicial object.
Cite
@article{arxiv.1702.02529,
title = {Representing the deformation $\infty$-groupoid},
author = {Daniel Robert-Nicoud},
journal= {arXiv preprint arXiv:1702.02529},
year = {2019}
}
Comments
13 pages; (v2): changes in Section 4, small changes throughout the text and updated references; (v3): updated title and bibliography, corrected some typos, and minor corrections; in particular, fixed a minor error in Prop. 4.1