3 papers
math.RA2024
Hochschild cohomology of Lie-Rinehart algebras
Bjarne Kosmeijer, Hessel Posthuma
We compute the Hochschild cohomology of universal enveloping algebras of Lie-Rinehart algebras in terms of the Poisson cohomology of the associated graded quotient algebras. Centra…
math.DG2023
A note on the equivariant Chern character in Noncommutative Geometry
Bjarne Kosmeijer, Hessel Posthuma
Given a smooth action of a Lie group on a manifold, we give two constructions of the Chern character of an equivariant vector bundle in the cyclic cohomology of the crossed product…
math.DG2021
Lie Groupoid Deformations and Convolution Algebras
Bjarne Kosmeijer, Hessel Posthuma
We define a morphism from the deformation complex of a Lie groupoid to the Hochschild complex of its convolution algebra, and show that it maps the class of a geometric deformation…