2013/04/12 by Weigel, Peter
#53D35 #53D40 #57R17 #FOS: Mathematics #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.1304.3662
We study the existence of positive loops of contactomorphisms on a Liouville-fillable contact manifold (Σ,ξ=ker(α)). Previous results show that a large class of Liouville-fillable contact manifolds admit contractible positive loops. In contrast, we show that for any Liouville-fillable (Σ,α) with dim(Σ) ≥ 7, there exists a Liouville-fillable contact structure ξ' on Σ which admits no positive loop at all. Further, ξ' can be chosen to agree with ξ on the complement of a Darboux ball.