The existence of an indecomposable minimal genus two Lefschetz fibration

It was shown by Usher that any fiber sum of Lefschetz fibrations over \(S^2\) is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists an indecomposable minimal genus-2 Lefschetz fibration.

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Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Akhmedov, Anar, Monden, Naoyuki
Format: Article
Language:English
Online Access:Get full text
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Summary:It was shown by Usher that any fiber sum of Lefschetz fibrations over \(S^2\) is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists an indecomposable minimal genus-2 Lefschetz fibration.
ISSN:2331-8422