English

On nonformal simply connected symplectic manifolds

Symplectic Geometry 2007-05-23 v3

Abstract

For any N5N \geq 5 nonformal simply connected symplectic manifolds of dimension 2N2N are constructed. This disproves the formality conjecture for simply connected symplectic manifolds which was introduced by Lupton and Oprea.

Keywords

Cite

@article{arxiv.math/9811167,
  title  = {On nonformal simply connected symplectic manifolds},
  author = {Ivan K. Babenko and Iskander A. Taimanov},
  journal= {arXiv preprint arXiv:math/9811167},
  year   = {2007}
}

Comments

20 pages, LaTeX; the short announcement see in math.SG/9810065; a revised version

R2 v1 2026-07-22T18:01:03.950Z