Diffeomorphisms and almost complex structures on tori
classification
🧮 math.DG
math.SG
keywords
toridiffeomorphismsstructurestructuressymplecticalmostanswerbenson
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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.
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