2011/10/24 by Kenta Hayano, Masatoshi Sato, Hayano, Kenta +1
Mathematics · #30F99 #57N13 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:30F99 #msc:57N13
paper · pdf · doi:10.48550/arxiv.1110.5286
18 pages, 7 figures
arxiv created 2011/10/24 · arxiv updated 2011/10/25
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.