Geodesic
Deligne groupoid revisited
Theory and applications of categories, Tome 30 (2015), pp. 1001-1016 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

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Classification : 18G55, 55U10
Keywords: groupoid, $L_\infty$-algebra, simplicial nerve 
@article{TAC_2015_30_a28,
     author = {Paul Bressler and Alexander Gorokhovsky and Ryszard Nest and Boris Tsygan},
     title = {Deligne groupoid revisited},
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     year = {2015},
     volume = {30},
     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/