#### Volume 19, issue 3 (2019)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Representing the deformation $\infty$–groupoid

### Daniel Robert-Nicoud

Algebraic & Geometric Topology 19 (2019) 1453–1476
##### Abstract

Our goal is to introduce a smaller, but equivalent version of the deformation $\infty$–groupoid associated to a homotopy Lie algebra. In the case of differential graded Lie algebras, we represent it by a universal cosimplicial object.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt

We have not been able to recognize your IP address 3.210.184.142 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

##### Keywords
deformation theory, Deligne groupoid, differential graded Lie algebras, Maurer–Cartan elements
##### Mathematical Subject Classification 2010
Primary: 17B55
Secondary: 18G55, 55U10