The existence of an indecomposable minimal genus two Lefschetz fibration

2018/09/25 by Akhmedov, Anar, Monden, Naoyuki · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1809.09542

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 an indecomposable minimal genus-2 Lefschetz fibration.

Cited by

• A note on the topology of Lefschetz fibrations

Related

• Minimality and fiber sum decompositions of Lefschetz fibrations
• Fiber sums of genus 2 Lefschetz fibrations
• Lefschetz fibrations and Torelli groups
• On the holomorphicity of genus two Lefschetz fibrations
• Classification of broken Lefschetz fibrations with small fiber genera