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

被引：0
作者：
P. Suárez-Serrato
J. Torres Orozco
R. Vera
机构：
[1] Universidad Nacional Autónoma de México,Instituto de Matemáticas
[2] University of California Santa Barbara,Department of Mathematics
[3] Universidad Nacional Autónoma de México,Centro de Ciencias Matemáticas
[4] KU Leuven,Department of Mathematics
来源：
Annals of Global Analysis and Geometry | 2019年 / 55卷
关键词：
Singular Poisson; Near-symplectic; Broken Lefschetz fibrations; Wrinkled; Singularity theory; Stable maps; Fold; Cusp; Swallowtail; Butterfly; MSC 57R17; MSC 53D17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：777 / 804
页数：27
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