The existence of an indecomposable minimal genus two lefschetz fibration

Anar Akhmedov, Naoyuki Monden

Research output: Contribution to journalArticlepeer-review

Abstract

It was shown by Usher that any fiber sum of Lefschetz fibrations over S2 is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists a genus-2 indecomposable minimal Lefschetz fibration (IMLF for short).

Original languageEnglish
Pages (from-to)29-36
Number of pages8
JournalOsaka Journal of Mathematics
Volume58
Issue number1
Publication statusPublished - Jan 2021

ASJC Scopus subject areas

  • Mathematics(all)

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