Geodesic
Deligne groupoid revisited
Theory and applications of categories, Tome 30 (2015), pp. 1001-1016.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We show that for a differential graded Lie algebra g whose components vanish in degrees below -1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of g-valued differential forms introduced by V.~Hinich.
Publié le :
Classification : 18G55, 55U10
Keywords: groupoid, $L_\infty$-algebra, simplicial nerve 
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     author = {Paul Bressler and Alexander Gorokhovsky and Ryszard Nest and Boris Tsygan},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a28/}
}
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Paul Bressler; Alexander Gorokhovsky; Ryszard Nest; Boris Tsygan. Deligne groupoid revisited. Theory and applications of categories, Tome 30 (2015), pp. 1001-1016. http://geodesic.mathdoc.fr/item/TAC_2015_30_a28/