Diffeomorphisms and almost complex structures on tori

被引：1
|
作者：
Hajduk, B
Tralle, A
机构：
[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
[2] Univ Warmia & mazury, Dept Math & Informat Technol, PL-10561 Olsztyn, Poland
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2005年 / 28卷 / 04期
关键词：
symplectic manifold; symplectomorphism; almost complex structure; a-genus;
D O I：
10.1007/s10455-005-1939-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：337 / 349
页数：13
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