Compatible contact structures of fibered seifert links in homology 3-spheres

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Abstract

We study compatible contact structures of fibered Seifert multilinks in homology 3-spheres and especially give a necessary and sufficient condition for the contact structure to be tight in the case where the Seifert fibration is positively twisted. As a corollary we determine the strongly quasipositivity of fibered Seifert links in S3. We also study the compatible contact structures of cablings along links in any 3-manifolds.

Original languageEnglish
Pages (from-to)25-59
Number of pages35
JournalTohoku Mathematical Journal
Volume64
Issue number1
DOIs
Publication statusPublished - 2012 Mar 1
Externally publishedYes

Keywords

  • Contact structure
  • Open book decomposition
  • Seifert link

ASJC Scopus subject areas

  • Mathematics(all)

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