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.

引用

页码：337 / 349

页数：13

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