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Diffeomorphisms and Almost Complex Structures on Tori

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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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Authors and Affiliations

  1. Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Bogusław Hajduk

  2. Department of Mathematics and Information Technology, University of Warmia and Mazury, Zolnierska 14A, 10-561, Olsztyn, Poland

    Aleksy Tralle

Authors
  1. Bogusław Hajduk
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  2. Aleksy Tralle
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Correspondence to Bogusław Hajduk.

Additional information

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

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