On Bott-Morse Foliations and their Poisson Structures in Dimension 3
Symplectic Geometry
2019-12-05 v1 Differential Geometry
Geometric Topology
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.
Keywords
Cite
@article{arxiv.1801.09735,
title = {On Bott-Morse Foliations and their Poisson Structures in Dimension 3},
author = {Miguel Evangelista-Alvarado and Pablo Suárez-Serrato and Jonatán Torres Orozco and Ramón Vera},
journal= {arXiv preprint arXiv:1801.09735},
year = {2019}
}
Comments
15 pages, 1 figure