E₈-plumbings and exotic contact structures on spheres
classification
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math.GT
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spheresstructurescontactdimensionexistenceexoticauthoreliashberg
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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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