$E_8$-plumbings and exotic contact structures on spheres

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70538We 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).12 pagesSymplectic GeometryGeometric Topology53D35$E_8$-plumbings and exotic contact structures on spherestext