On sections of genus two Lefschetz fibrations

2008/04/14 by Onaran, Sinem Celik
#57M50 #57R17 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0804.2237

Abstract

In this note we find new relations in the mapping class group of a genus two surface with n boundary components for n=1,..., 8 which induce a genus two Lefschetz fibration CP²#13CP²bar → S² with n disjoint sections. As a consequence, we observe any holomorphic genus 2 Lefschetz fibration without separating singular fibers admits a section.

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