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Diffeomorphisms and Almost Complex Structures on Tori |
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| Authors: | |
| Institution: | (1) Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland;(2) Department of Mathematics and Information Technology, University of Warmia and Mazury, Zolnierska 14A, 10-561 Olsztyn, Poland |
| 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. Mathematics Subject Classifications (2000): 53C15, 53D35. |
| Keywords: | symplectic manifold symplectomorphism almost complex structure a-genus |
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