Geodesic
Representing the deformation ∞–groupoid
Robert-Nicoud, Daniel1
1 Laboratoire Analyse, Géométrie et Applications, Université Paris 13, Villetaneuse, France
Algebraic and Geometric Topology, Tome 19 (2019) no. 3, pp. 1453-1476

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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

DOI : 10.2140/agt.2019.19.1453
Classification : 17B55, 18G55, 55U10
Keywords: deformation theory, Deligne groupoid, differential graded Lie algebras, Maurer–Cartan elements

Robert-Nicoud, Daniel 1

1 Laboratoire Analyse, Géométrie et Applications, Université Paris 13, Villetaneuse, France 
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Robert-Nicoud, Daniel. Representing the deformation ∞–groupoid. Algebraic and Geometric Topology, Tome 19 (2019) no. 3, pp. 1453-1476. doi: 10.2140/agt.2019.19.1453

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