67 citations · 204 across the 35 of their papers we have counts for
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math.QA2015★ 3 cited
An index theorem for Lie algebroids
Arie Blom, Hessel Posthuma
We study Lie algebroids from the point of view noncommutative geometry. More specifically, using ideas from deformation quantization, we use the PBW-theorem for Lie algebroids to c…
math.DG2015★ 7 cited
The bi-Hamiltonian cohomology of a scalar Poisson pencil
Guido Carlet, Hessel Posthuma, Sergey Shadrin
We compute the bi-Hamiltonian cohomology of an arbitrary dispersionless Poisson pencil in a single dependent variable using a spectral sequence method. As in the KdV case, we obtai…
math.DG2015★ 22 cited
Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
Guido Carlet, Hessel Posthuma, Sergey Shadrin
We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dis…