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International Mathematics Research Notices (2000) 2000:441-454, doi:10.1155/S1073792800000246
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

Convex contact structures and fibered links in 3-manifolds

Ichiro Torisu

We study relations between positive convex contact structures on closed oriented 3-manifolds and fibered links in the manifolds. For connecting these notions, we introduce the notion of convex Heegaard splittings for closed orientable 3-manifolds, which is almost equivalent to that of fibered links. In particular, we greatly pay our attention to the 3-sphere case and see a correspondence between the tightness of convex contact structures and the positiveness of fibered links.


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