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Symplectic fillings of lens spaces as Lefschetz fibrations

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2016-01-01
Bhupal, Mohan Lal
ÖZBAĞCI, BURAK
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.