$E_8$-plumbings and exotic contact structures on spheres

Details $E_8$-plumbings and exotic contact structures on spheres $E_8$-plumbings and exotic contact structures on spheres

2004-03-22

arxiv.org/abs/math/0403358v2

Int. Math. Res. Not. (2004), no. 71, 3825-3837

Mathematics

Symplectic Geometry

12 pages

Scientific paper

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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