Exotic smooth structures and symplectic forms on closed manifolds

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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.
AMSLaTeX, 16 pages, a new version. A survey of the symplectic version of the problem is added

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Differential Geometry, Symplectic Geometry, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/168153

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612586
 http://arxiv.org/abs/math/0612586
 Geom. Dedic. 132(2008), 31-42
 doi:10.1007/s10711-007-9181-5

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arXiv