On sections of genus two Lefschetz fibrations
Geometric Topology
2009-11-14 v3
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 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.
Keywords
Cite
@article{arxiv.0804.2237,
title = {On sections of genus two Lefschetz fibrations},
author = {Sinem Celik Onaran},
journal= {arXiv preprint arXiv:0804.2237},
year = {2009}
}
Comments
13 pages, 11 figures, relations for n=7 and n=8 are added