A signature formula for hyperelliptic broken Lefschetz fibrations
Geometric Topology
2011-10-25 v1
Abstract
A hyperelliptic broken Lefschetz fibration is a generalization of a hyperelliptic Lefschetz fibration. We construct and compute a local signature of hyperelliptic directed broken Lefschetz fibrations by generalizing Endo's local signature of hyperelliptic Lefschetz fibrations. It is described by his local signature and a rational-valued homomorphism on the subgroup of the hyperelliptic mapping class group which preserves a simple closed curve setwise.
Keywords
Cite
@article{arxiv.1110.5286,
title = {A signature formula for hyperelliptic broken Lefschetz fibrations},
author = {Kenta Hayano and Masatoshi Sato},
journal= {arXiv preprint arXiv:1110.5286},
year = {2011}
}
Comments
18 pages, 7 figures