Volume 10, issue 1 (2006)
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Infinitely many universally tight contact manifolds with trivial Ozsváth–Szabó contact invariants

Paolo Ghiggini
Geometry & Topology 10 (2006) 335–357
DOI: 10.2140/gt.2006.10.335

arXiv: math/0510574
Abstract

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.

Keywords
contact structure, tight, Ozsváth–Szabó invariant, symplectically fillable
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57R57
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Publication
Received: 4 November 2005
Accepted: 26 December 2005
Published: 2 April 2006
Proposed: Peter Ozsváth
Seconded: Tomasz Mrowka, Ronald Stern
Authors
Paolo Ghiggini
CIRGET
Université du Québec à Montréal
Case Postale 8888, succursale Centre-Ville
Montréal (Québec) H3C 3P8
Canada