The New Math » Blog Archive » Exotic smooth structures and symplectic forms on closed manifolds. [arXiv:math/0612586v2 UPDATED]

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Exotic smooth structures and symplectic forms on closed manifolds. [arXiv:math/0612586v2 UPDATED]

6 April 2007 at 12:56 am

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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