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arXiv · 1609.06768

Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6

Pablo Suárez-Serrato·Jonatán Torres Orozco·Ramón Vera
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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.

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Pablo Suárez-Serrato, Jonatán Torres Orozco, Ramón Vera. 2016-09-21. Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6. https://doi.org/10.1007/s10455-019-09651-2

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