Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6
Symplectic Geometry
2019-12-05 v1 Differential Geometry
Abstract
We show that generalized broken fibrations in arbitrary dimensions admit rank-2 Poisson structures compatible with the fibration structure. After extending the notion of wrinkled fibration to dimension 6 we prove that these wrinkled fibrations also admit compatible rank-2 Poisson structures. In the cases with indefinite singularities we can provide these wrinkled fibrations in dimension 6 with near-symplectic structures.
Keywords
Cite
@article{arxiv.1609.06768,
title = {Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6},
author = {Pablo Suárez-Serrato and Jonatán Torres Orozco and Ramón Vera},
journal= {arXiv preprint arXiv:1609.06768},
year = {2019}
}
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35 pages