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

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

2009-04-06

arxiv.org/abs/0904.0837v3

Mathematics

Geometric Topology

32 pages, 23 figures

Scientific paper

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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