53 citations · 287 across the 51 of their papers we have counts for
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On the variation of the Poisson structures of certain moduli spaces
Johannes Huebschmann
Given a Lie group G whose Lie algebra is endowed with a nondegenerate invariant symmetric bilinear form, we construct a Poisson algebra of continuous functions on a certain open su…
Extensions of Lie-Rinehart algebras and the Chern-Weil construction
Johannes Huebschmann
A Chern-Weil construction for extensions of Lie-Rinehart algebras is introduced. This generalizes the classical Chern-Weil construction in differential geometry and yields characte…
Lie-Rinehart algebras, Gerstenhaber algebras, and B-V algebras
Johannes Huebschmann
For a Lie-Rinehart algebra (A,L), generators for the Gerstenhaber algebra Λ_A L correspond bijectively to right (A,L)-connections on A in such a way that B-V structures correspond…
Duality for Lie-Rinehart algebras and the modular class
Johannes Huebschmann
We introduce a notion of duality for a Lie-Rinehart algebra giving certain bilinear pairings in its cohomology generalizing the usual notions of Poincaré duality in Lie algebra coh…