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

Masaharu Ishikawa

doi:10.2748/tmj/1332767339

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

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	25-59
Number of pages	35
Journal	Tohoku Mathematical Journal
Volume	64
Issue number	1
DOIs	https://doi.org/10.2748/tmj/1332767339
Publication status	Published - 2012 Mar
Externally published	Yes

Keywords

Contact structure
Open book decomposition
Seifert link

ASJC Scopus subject areas

Mathematics(all)

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10.2748/tmj/1332767339

Cite this

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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.",

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AB - 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.

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KW - Open book decomposition

KW - Seifert link

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

Abstract

Keywords

ASJC Scopus subject areas

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