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

We study compatible contact structures of fibered, positively twisted graph multilinks in S 3 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 Seife...

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Bibliographic Details
Published in:	Vietnam journal of mathematics Vol. 42; no. 3; pp. 273 - 293
Main Author:	Ishikawa, Masaharu
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01-09-2014
Subjects:	Mathematics Mathematics and Statistics 55R25 32S55 Contact structure Milnor fibration 57M50 57R17 Open book decomposition
Online Access:	Get full text
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Summary:	We study compatible contact structures of fibered, positively twisted graph multilinks in S 3 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 are always overtwisted.
ISSN:	2305-221X 2305-2228
DOI:	10.1007/s10013-014-0066-2