A Lefschetz fibration on minimal symplectic fillings of a quotient surface singularity

Hakho Choi; Jongil Park

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arXiv · 1802.03304

A Lefschetz fibration on minimal symplectic fillings of a quotient surface singularity

Hakho Choi·Jongil Park

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Abstract

In this article, we construct a genus-$0$ or genus-$1$ positive allowable Lefschetz fibration on any minimal symplectic filling of the link of non-cyclic quotient surface singularities. As a byproduct, we also show that any minimal symplectic filling of the link of quotient surface singularities can be obtained from a sequence of rational blowdowns from its minimal resolution.

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Hakho Choi, Jongil Park. 2018-02-09. A Lefschetz fibration on minimal symplectic fillings of a quotient surface singularity. https://arxiv.org/abs/1802.03304

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