Representing the deformation ∞–groupoid

Robert-Nicoud, Daniel

doi:10.2140/agt.2019.19.1453

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Representing the deformation $\infty$–groupoid

Daniel Robert-Nicoud

Algebraic & Geometric Topology 19 (2019) 1453–1476

DOI: 10.2140/agt.2019.19.1453

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.

Keywords

deformation theory, Deligne groupoid, differential graded Lie algebras, Maurer–Cartan elements

Mathematical Subject Classification 2010

Primary: 17B55

Secondary: 18G55, 55U10

References

Publication

Received: 30 March 2018

Revised: 6 September 2018

Accepted: 25 September 2018

Published: 21 May 2019

Authors

Daniel Robert-Nicoud
Laboratoire Analyse, Géométrie et Applications Université Paris 13 Villetaneuse France

Volume 19, issue 3 (2019)