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

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

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...

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Veröffentlicht in:Mathematische Zeitschrift 2020-08, Vol.295 (3-4), p.1183-1204, Article 1183
Hauptverfasser: Choi, Hakho, Park, Jongil
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Mathematics
Mathematics and Statistics
Quotients
Singularity (mathematics)
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Park, Jongil
description 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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Quotients
Singularity (mathematics)
title A Lefschetz fibration on minimal symplectic fillings of a quotient surface singularity
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