Seifert fibered contact three-manifolds via surgery

Abstract

Using contact surgery we define families of contact structures on certain Seifert fibered three-manifolds. We prove that all these contact structures are tight using contact Ozsath-Szabo invariants. We use these examples to show that, given a natural number n, there exists a Seifert fibered three-manifold carrying at least n pairwise non-isomorphic tight, not fillable contact structures.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-12.abs.html

References in corpus (4)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Heegaard Floer homologies and contact structures
• Surgery diagrams for contact 3-manifolds
• An infinite family of tight, not semi-fillable contact three-manifolds

Cited by in corpus (6)

• Holomorphic disks and genus bounds
• Ozsvath-Szabo invariants and tight contact three-manifolds, I
• On the existence of tight contact structures on Seifert fibered 3-manifolds
• Infinitely many universally tight contact manifolds with trivial Ozsvath-Szabo contact invariants
• Naturality of the Contact Invariant in Monopole Floer Homology Under Strong Symplectic Cobordisms
• Classification of tight contact structures on surgeries on the figure-eight knot