On sections of hyperelliptic Lefschetz fibrations

Details On sections of hyperelliptic Lefschetz fibrations On sections of hyperelliptic Lefschetz fibrations

2012-01-23

arxiv.org/abs/1201.4797v2

Mathematics

Geometric Topology

19 pages, 21 figures

Scientific paper

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.

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