11 citations · 30 across the 4 of their papers we have counts for
10 papers
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 -->…
Differential gorms, differential worms
Denis Kochan, Pavol Severa
We study "higher-dimensional" generalizations of differential forms. Just as differential forms can be defined as the universal commutative differential algebra containing C^\infty…
Noncommutative differential forms and quantization of the odd symplectic category
Pavol Severa
There is a simple and natural quantization of differential forms on odd Poisson supermanifolds, given by the relation [f,dg]={f,g} for any two functions f and g. We notice that thi…
Quantization of Poisson families and of twisted Poisson structures
Pavol Severa
We describe a deformation quantization of a modification of Poisson geometry by a closed 3-form. Under suitable conditions it gives rise to a stack of algebras. The basic object us…
A remark on the symmetries of the Riemann curvature tensor
Pavol Severa
This is an elementary observation that the symmetry properties of the Riemann curvature tensor can be (efficiently) expressed as SL(2)-invariance.
On geometry behind Birkhoff theorem
Pavol Severa
This is an elementary geometrical proof of Birkhoff theorem. It is hardly important, but the pictures behind are quite nice.