Exotic smooth structures and symplectic forms on closed manifolds

Details Exotic smooth structures and symplectic forms on closed manifolds Exotic smooth structures and symplectic forms on closed manifolds

2006-12-20

arxiv.org/abs/math/0612586v2

Geom. Dedic. 132(2008), 31-42

Mathematics

Differential Geometry

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

Scientific paper

10.1007/s10711-007-9181-5

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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