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Strongly fillable contact 3–manifolds without Stein fillings

Paolo Ghiggini
Geometry & Topology 9 (2005) 1677–1687
DOI: 10.2140/gt.2005.9.1677

arXiv: math.GT/0506380
Abstract

We use the Ozsváth–Szabó contact invariant to produce examples of strongly symplectically fillable contact 3–manifolds which are not Stein fillable.

Keywords
contact structure, symplectically fillable, Stein fillable, Ozsváth–Szabó invariant
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57R57
References
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Publication
Received: 23 June 2005
Accepted: 4 August 2005
Published: 28 August 2005
Proposed: Peter Ozsváth
Seconded: Robion Kirby, Yasha Eliashberg
Authors
Paolo Ghiggini
CIRGET
Université du Québec à Montréal
Case Postale 8888
succursale Centre-Ville
Montréal (Québec) H3C 3P8
Canada