2012/11/28 by Paul Bressler, Alexander Gorokhovsky, Bressler, Paul +5
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.1211.6603
We show that for a differential graded Lie algebra \mathfrakg whose components vanish in degrees below -1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of \mathfrakg-valued differential forms introduced by V.Hinich.