English

$E_8$-plumbings and exotic contact structures on spheres

Symplectic Geometry 2007-05-23 v2 Geometric Topology

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).

Keywords

Cite

@article{arxiv.math/0403358,
  title  = {$E_8$-plumbings and exotic contact structures on spheres},
  author = {Fan Ding and Hansjörg Geiges},
  journal= {arXiv preprint arXiv:math/0403358},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-07-22T17:03:36.042Z