Abstract
We prove that there exist diffeomorphisms of tori, supported in a disc, which are not isotopic to symplectomorphisms with respect to the standard 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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Mathematics Subject Classifications (2000): 53C15, 53D35.
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Hajduk, B., Tralle, A. Diffeomorphisms and Almost Complex Structures on Tori. Ann Glob Anal Geom 28, 337–349 (2005). https://doi.org/10.1007/s10455-005-1939-0
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DOI: https://doi.org/10.1007/s10455-005-1939-0