We study compatible contact structures of fibered, positively twisted graph multilinks in S3 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 (Formula presented.) are always overtwisted.
|Number of pages||21|
|Journal||Vietnam Journal of Mathematics|
|Publication status||Published - 2014 Sept 1|
- Contact structure
- Milnor fibration
- Open book decomposition
ASJC Scopus subject areas