Exotic smooth structures and symplectic forms on closed manifolds
Differential Geometry
2008-09-02 v2 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0612586,
title = {Exotic smooth structures and symplectic forms on closed manifolds},
author = {Boguslaw Hajduk and Aleksy Tralle},
journal= {arXiv preprint arXiv:math/0612586},
year = {2008}
}
Comments
AMSLaTeX, 16 pages, a new version. A survey of the symplectic version of the problem is added