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$E_8$-plumbings and exotic contact structures on spheres

Fan Ding·Hansjörg Geiges
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Abstract

We prove the existence of exotic but homotopically trivial contact structures on spheres of dimension 8k-1. Together with previous results of Eliashberg and the second author this establishes the existence of such structures on all odd-dimensional spheres (of dimension at least 3).

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Fan Ding, Hansjörg Geiges. 2004-10-04. $E_8$-plumbings and exotic contact structures on spheres. https://arxiv.org/abs/math/0403358

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