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Poisson cohomology of singular fibrations in dimension 4

Published 29 Jul 2022 in math.DG and math.AT | (2208.00084v2)

Abstract: It is known that there exist singular Poisson structures in $4$-manifolds, whose symplectic foliation is given by singular fibrations over surfaces. In this work, we describe the effect of the monodromy of the fibration on the Poisson cohomology groups.

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