On sections of hyperelliptic Lefschetz fibrations
Geometric Topology
2012-01-25 v2
Abstract
We construct a relation among right-handed Dehn twists in the mapping class group of a compact oriented surface of genus g with 4g+4 boundary components. This relation gives an explicit topological description of 4g+4 disjoint (-1)-sections of a hyperelliptic Lefschetz fibration of genus g on the manifold {CP}^2#(4g+5){-CP}^2.
Cite
@article{arxiv.1201.4797,
title = {On sections of hyperelliptic Lefschetz fibrations},
author = {Shunsuke Tanaka},
journal= {arXiv preprint arXiv:1201.4797},
year = {2012}
}
Comments
19 pages, 21 figures