356 citations · 1.2k across the 33 of their papers we have counts for
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math.DG2006★ 11 cited
L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)
Pavol Severa
The procedure "Lie group --> Lie algebra" has a generalization "simplicial manifold --> L_infinity algebra", or yet better, "presheaf on the category of surjective submersions -->…
math.DG2006★ 1 cited
Differential worms and generalized manifolds
Pavol Severa
We study differential forms and their higher-order generalizations by interpreting them as functions on map spaces. We get a series of approximations of "generalized manifolds" (i.…
math.DG2006★ 6 cited
Poisson actions up to homotopy and their quantization
Pavol Severa
Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the quantized algebra of functions. It is therefore interesting to study symmetries up…