English

Overtwisted Disks and Exotic Symplectic Structures

Symplectic Geometry 2014-03-03 v1

Abstract

The symplectization of an overtwisted contact structure in Euclidean 3--space is shown to be an exotic symplectic structure on Euclidean 4--space. The technique can be extended to produce exotic symplectic structures in higher dimensional Euclidean spaces using a GPS--structure and applies to symplectizations of appropriate open contact manifolds.

Keywords

Cite

@article{arxiv.1402.7099,
  title  = {Overtwisted Disks and Exotic Symplectic Structures},
  author = {Roger Casals},
  journal= {arXiv preprint arXiv:1402.7099},
  year   = {2014}
}

Comments

7 pages

R2 v1 2026-06-22T03:17:31.636Z