41 citations · 300 across the 34 of their papers we have counts for
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math.SG2020
The existence of contact structures on 9-manifolds
Diarmuid Crowley, Huijun Yang
We give necessary and sufficient conditions for a closed orientable 9-manifold M to admit an almost contact structure. The conditions are stated in terms of the Stiefel-Whitney cla…
math.SG2013★ 2 cited
Contact structures on M \times S^2
Jonathan Bowden, Diarmuid Crowley, András I. Stipsicz
We show that if a manifold M admits a contact structure, then so does M\times S^2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of B…