Affiliation:
1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Abstract
Abstract
We describe Lefschetz–Bott fibrations on complex line bundles over symplectic manifolds explicitly. As an application, we show that the link of the $A_{k}$-type singularity has more than one strong symplectic filling up to homotopy and blow-up at points when the dimension of the link is greater than or equal to $5$. 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.
Funder
Japan Society for the Promotion of Science
Publisher
Oxford University Press (OUP)
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