Compatible Contact Structures of Fibered Positively Twisted Graph Multilinks in the 3-Sphere

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Abstract

We study compatible contact structures of fibered, positively twisted graph multilinks in S3 and prove that the contact structure of such a multilink is tight if and only if the orientations of its link components are all consistent with or all opposite to the orientation of the fibers of the Seifert fibrations of that graph multilink. As a corollary, we show that the compatible contact structures of the Milnor fibrations of real analytic germs of the form (Formula presented.) are always overtwisted.

Original languageEnglish
Pages (from-to)273-293
Number of pages21
JournalVietnam Journal of Mathematics
Volume42
Issue number3
DOIs
Publication statusPublished - 2014 Sep 1
Externally publishedYes

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Keywords

  • Contact structure
  • Milnor fibration
  • Open book decomposition

ASJC Scopus subject areas

  • Mathematics(all)

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