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

2009/04/06 by Masaharu Ishikawa, Ishikawa, Masaharu
Mathematics · #57M50 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0904.0837

openalex publication_date 2009/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 the 3-sphere. We also study the compatible contact structures of cablings along links in any 3-manifolds.

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