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arXiv · 2111.07590

Exotic tight contact structures on $\mathbb{R}^n$

François-Simon Fauteux-Chapleau·Joseph Helfer
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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 $\mathbb{R}^{2n-1}$ for all $n>2$.

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François-Simon Fauteux-Chapleau, Joseph Helfer. 2021-11-15. Exotic tight contact structures on $\mathbb{R}^n$. https://doi.org/10.4310/jsg.250403022531

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