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arxiv: math/0612586 · v2 · submitted 2006-12-20 · 🧮 math.DG · math.SG

Exotic smooth structures and symplectic forms on closed manifolds

classification 🧮 math.DG math.SG
keywords exoticstructuressymplecticproblemtheretorianalyzebenson
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We give a short proof of the (known) result that there are no Kaehler structures on exotic tori. This yields a negative solution to a problem posed by Benson and Gordon. W discuss the symplectic version of the problem and analyze results which yield an evidence for the conjecture that there are no symplectic structures on exotic tori.

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