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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Bibliographic Details
Published in:Mathematische Zeitschrift 2020-08, Vol.295 (3-4), p.1183-1204, Article 1183
Main Authors: Choi, Hakho, Park, Jongil
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Quotients
Singularity (mathematics)
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Summary: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-019-02387-6