Geometry & Topology
- Geom. Topol.
- Volume 11, Number 4 (2007), 2203-2225.
A class of non-fillable contact structures
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 . 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 , for , possesses this kind of contact structure and so any connected sum with those manifolds also does it.
Geom. Topol., Volume 11, Number 4 (2007), 2203-2225.
Received: 16 January 2007
Revised: 2 September 2007
Accepted: 9 August 2007
First available in Project Euclid: 20 December 2017
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Presas, Francisco. A class of non-fillable contact structures. Geom. Topol. 11 (2007), no. 4, 2203--2225. doi:10.2140/gt.2007.11.2203. https://projecteuclid.org/euclid.gt/1513799980