A signature formula for hyperelliptic broken Lefschetz fibrations

Kenta Hayano, Masatoshi Sato

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)157-174
Number of pages18
JournalTopology and its Applications
Volume173
DOIs
Publication statusPublished - 2014 Aug 15
Externally publishedYes

Keywords

  • Broken Lefschetz fibrations
  • Fibered 4-manifolds
  • Local signatures
  • Mapping class groups

ASJC Scopus subject areas

  • Geometry and Topology

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