2007/10/03 by Gil Cavalcanti, Marisa Fernandez, Vicente Munoz
Mathematics · #math.SG #math.AT #math.DG #msc:57R17 #msc:57R19
paper · pdf · doi:10.1016/j.aim.2008.01.012
published as Adv. Math., 218 (2), 2008, 576--599 · 21 pages, no figures
arxiv created 2007/10/03 · arxiv updated 2009/12/01
We introduce a method to resolve a symplectic orbifold into a smooth symplectic manifold. Then we study how the formality and the Lefschetz property of the symplectic resolution are compared with that of the symplectic orbifold. We also study the formality of the symplectic blow-up of a symplectic orbifold along symplectic submanifolds disjoint from the orbifold singularities. This allows us to construct the first example of a simply connected compact symplectic manifold of dimension 8 which satisfies the Lefschetz property but is not formal, therefore giving a counter-example to a conjecture of Babenko and Taimanov.