On Bott-Morse Foliations and their Poisson Structures in Dimension 3

Published 29 Jan 2018 in math.SG, math.DG, and math.GT | (1801.09735v1)

Abstract: We show that a Bott-Morse foliation in dimension 3 admits a linear, singular, Poisson structure of rank 2 with Bott-Morse singularities. We provide the Poisson bivectors for each type of singular component, and compute the symplectic forms of the characteristic distribution.

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