19 citations · 63 across the 20 of their papers we have counts for
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math.GT2011
A signature formula for hyperelliptic broken Lefschetz fibrations
Kenta Hayano, Masatoshi Sato
A hyperelliptic broken Lefschetz fibration is a generalization of a hyperelliptic Lefschetz fibration. We construct and compute a local signature of hyperelliptic directed broken L…
math.GT2011★ 1 cited
Four-manifolds admitting hyperelliptic broken Lefschetz fibrations
Kenta Hayano, Masatoshi Sato
We introduce hyperelliptic simplified (more generally, directed) broken Lefschetz fibrations, which is a generalization of hyperelliptic Lefschetz fibrations. We construct involuti…
math.GT2011★ 4 cited
A note on sections of broken Lefschetz fibrations
Kenta Hayano
We show that there exists a non-trivial simplified broken Lefschetz fibration which has infinitely many homotopy classes of sections. We also construct a non-trivial simplified bro…