Exotic tight contact structures on ℝⁿ

2021/11/15 by Fauteux-Chapleau, François-Simon, Helfer, Joseph
#53D42 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2111.07590

Abstract

We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on ℝ^2n-1 for all n>2.

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