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math.AT2019
Comparison of spaces associated to DGLA via higher holonomy
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
Fof a nilpotent differential graded Lie algebra whose components vanish in degrees below -1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the…
math.AT2012★ 3 cited
Deligne groupoid revisited
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We show that for a differential graded Lie algebra whose components vanish in degrees below -1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simp…
math.AT2005★ 4 cited
The first Pontryagin class
Paul Bressler
We give a natural obstruction theoretic interpretation to the first Pontryagin class in terms of Courant algebroids. As an application we calculate the class of the stack of algebr…