On sections of genus two Lefschetz fibrations

Details On sections of genus two Lefschetz fibrations On sections of genus two Lefschetz fibrations

2008-04-14

arxiv.org/abs/0804.2237v3

Mathematics

Geometric Topology

13 pages, 11 figures, relations for n=7 and n=8 are added

Scientific paper

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 $CP^2#13CP^2bar \to S^2$ 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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