Geometry & Topology 11 (2007) 2203–2225

DOI: 10.2140/gt.2007.11.2203

arXiv: math.SG/0611390

Abstract

A geometric obstruction, the so called “PS–structure”, for a contact structure to not being fillable has been found by Niederkrüger. This generalizes somehow the concept of overtwisted structure to dimensions higher than 3. This paper elaborates on the theory showing a big number of closed contact manifolds having a ”PS–structure”. So, they are the first examples of non-fillable high dimensional closed contact manifolds. In particular we show that S³×∏_jΣ_j, for g(Σ_j)≥2, possesses this kind of contact structure and so any connected sum with those manifolds also does it.

Keywords

contact structures, fillings

Mathematical Subject Classification

Primary: 57R17

Secondary: 53D10

References

Forward citations

Publication

Received: 16 January 2007
Revised: 2 September 2007
Accepted: 9 August 2007
Published: 14 November 2007
Proposed: Yasha Eliashberg
Seconded: Peter Oszváth, Leonid Polterovich

Authors