Diffeomorphisms and almost complex structures on tori

Mathematics – Differential Geometry

Scientific paper

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12 pages, AMSTeX, final version

Scientific paper

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.

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