On nonformal simply-connected symplectic manifolds. (English. Russian original) Zbl 0972.53051
Sib. Math. J. 41, No. 2, 204-217 (2000); translation from Sib. Mat. Zh. 41, No. 2, 253-269 (2000).
The authors construct the first examples of nonformal simply-connected compact symplectic manifolds. In particular, for an arbitrary dimension \(N \geq 5\), they construct infinite series of such manifolds which are pairwise homotopically nonequivalent. Actually, the authors propose a method of constructing nonformal simply-connected manifolds by symplectic blowing-up ambient manifolds along nonformal nil-submanifolds. They show that, under such a surgery providing some additional conditions, nontrivial triple Massey products in nilmanifolds survive in the resulting manifolds that are simply-connected.
Reviewer: Yaroslav V. Bazaikin (Novosibirsk)
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