A signature formula for hyperelliptic broken Lefschetz fibrations

Details A signature formula for hyperelliptic broken Lefschetz fibrations A signature formula for hyperelliptic broken Lefschetz fibrations

2011-10-24

arxiv.org/abs/1110.5286v1

Mathematics

Geometric Topology

18 pages, 7 figures

Scientific paper

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.

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