Diffeomorphisms and almost complex structures on tori
Differential Geometry
2007-06-22 v2 Symplectic Geometry
Abstract
We prove that there exist diffeomorphisms of tori, supported in a disc, which are not isotopic to symplectomorphisms with respect to any symplectic structure. This yields a partial negative answer to a question of Benson and Gordon about the existence of symplectic structures on tori with exotic differential structure.
Cite
@article{arxiv.math/0311412,
title = {Diffeomorphisms and almost complex structures on tori},
author = {Boguslaw Hajduk and Aleksy Tralle},
journal= {arXiv preprint arXiv:math/0311412},
year = {2007}
}
Comments
12 pages, AMSTeX, final version