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math.SG2008
Minimal atlases of closed contact manifolds
Yuri Chekanov, Otto van Koert, Felix Schlenk
We study the minimal number C(M,ξ) of contact charts that one needs to cover a closed connected contact manifold (M,ξ). Our basic result is C(M,ξ) \le \dim M + 1. We compute C(M,ξ)…
math.SG2007★ 18 cited
Every contact manifold can be given a non-fillable contact structure
Klaus Niederkrüger, Otto van Koert
Recently Francisco Presas Mata constructed the first examples of closed contact manifolds of dimension larger than 3 that contain a plastikstufe, and hence are non-fillable. Using…