Symplectic fillings of lens spaces as Lefschetz fibrations

Mohan Bhupal; Burak Ozbagci

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arXiv · 1307.6935

Symplectic fillings of lens spaces as Lefschetz fibrations

Mohan Bhupal·Burak Ozbagci

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Abstract

We construct a positive allowable Lefschetz fibration over the disk on any minimal weak symplectic filling of the canonical contact structure on a lens space. Using this construction we prove that any minimal symplectic filling of the canonical contact structure on a lens space is obtained by a sequence of rational blowdowns from the minimal resolution of the corresponding complex two-dimensional cyclic quotient singularity.

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Mohan Bhupal, Burak Ozbagci. 2013-07-26. Symplectic fillings of lens spaces as Lefschetz fibrations. https://arxiv.org/abs/1307.6935

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