Milnor fibration, a'campo's divide and turaev's shadow

Masaharu Ishikawa, Hironobu Naoe

Research output: Contribution to journalArticlepeer-review


We give a method for constructing a shadowed polyhedron from a divide. The 4-manifold reconstructed from a shadowed polyhedron admits the structure of a Lefschetz fibration if it satisfies a certain property, which we call the LF-property. We will show that the shadowed polyhedron constructed from a divide satisfies this property and the Lefschetz fibration of this polyhedron is isomorphic to the Lefschetz fibration of the divide. Furthermore, applying the same technique to certain free divides we will show that the links of those free divides are fibered with positive monodromy.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Jul 3

ASJC Scopus subject areas

  • General

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