A signature formula for hyperelliptic broken Lefschetz fibrations

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Abstract

Hyperelliptic broken Lefschetz fibrations are generalizations of hyperelliptic Lefschetz fibrations. We generalize Endo's local signature formula to hyperelliptic directed broken Lefschetz fibrations. This is described in terms of Endo's local signature formula and a rational-valued homomorphism on the subgroup of the hyperelliptic mapping class group of a surface which preserves a simple closed curve setwise. © 2014 Elsevier B.V.

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Hayano, K., & Sato, M. (2014). A signature formula for hyperelliptic broken Lefschetz fibrations. Topology and Its Applications, 173, 157–174. https://doi.org/10.1016/j.topol.2014.05.022

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