On nonformal simply connected symplectic manifolds

Abstract

For any $N \geq 5$ nonformal simply connected symplectic manifolds of dimension $2N$ are constructed. This disproves the formality conjecture for simply connected symplectic manifolds which was introduced by Lupton and Oprea.Comment: 20 pages, LaTeX; the short announcement see in math.SG/9810065; a revised versio