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arXiv · 1801.09735

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

Miguel Evangelista-Alvarado·Pablo Suárez-Serrato·Jonatán Torres Orozco·Ramón Vera
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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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Miguel Evangelista-Alvarado, Pablo Suárez-Serrato, Jonatán Torres Orozco, Ramón Vera. 2018-01-29. On Bott-Morse Foliations and their Poisson Structures in Dimension 3. https://doi.org/10.5427/jsing.2019.19b

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