Diffeomorphisms and almost complex structures on tori

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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.
12 pages, AMSTeX, final version

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Differential Geometry, Symplectic Geometry, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/132198

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311412
 http://arxiv.org/abs/math/0311412
 Annals Global Anal. Geom. 28(2005), 337-349

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arXiv