Lefschetz-Bott fibrations on line bundles over symplectic manifolds

Takahiro Oba

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arXiv · 1904.00369

Lefschetz-Bott fibrations on line bundles over symplectic manifolds

Takahiro Oba

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Abstract

We describe Lefschetz-Bott fibrations on complex line bundles over symplectic manifolds explicitly. As an application, we construct more than one strong symplectic filling of the link of the $A_{k}$-type singularity. In the appendix, we show that the total space of a Lefschetz-Bott fibration over the unit disk serves as a strong symplectic filling of a contact manifold compatible with an open book induced by the fibration.

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Takahiro Oba. 2019-03-31. Lefschetz-Bott fibrations on line bundles over symplectic manifolds. https://arxiv.org/abs/1904.00369

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