Infinitely many universally tight contact manifolds with trivial Ozsváth–Szabó contact invariants

Ghiggini, Paolo¹

¹ CIRGET, Université du Québec à Montréal, Case Postale 8888, succursale Centre-Ville, Montréal (Québec) H3C 3P8, Canada

Geometry & topology, Tome 10 (2006) no. 1, pp. 335-357.

Résumé

In this article we present infinitely many 3–manifolds admitting infinitely many universally tight contact structures each with trivial Ozsváth–Szabó contact invariants. By known properties of these invariants the contact structures constructed here are non weakly symplectically fillable.

Détail

DOI : 10.2140/gt.2006.10.335

Keywords: contact structure, tight, Ozsváth–Szabó invariant, symplectically fillable

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