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Chart description for hyperelliptic Lefschetz fibrations and their stabilization

2013/06/12 by Hisaaki Endo, Endo, Hisaaki, Seiichi Kamada +1
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.1306.2707

19 pages, 22 figures. arXiv admin note: substantial text overlap with arXiv:1106.0569

arxiv created 2013/06/12 · arxiv updated 2013/06/13

Abstract

Chart descriptions are a graphic method to describe monodromy representations of various topological objects. Here we introduce a chart description for hyperelliptic Lefschetz fibrations, and show that any hyperelliptic Lefschetz fibration can be stabilized by fiber-sum with certain basic Lefschetz fibrations.

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