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

共 50 条

[31] A REMARK ON ALMOST COMPLEX STRUCTURES WITH BOUNDARY
HANGES, N
JACOBOWITZ, H
AMERICAN JOURNAL OF MATHEMATICS, 1989, 111 (01) : 53 - 64
[32] OBSTRUCTIONS TO EXISTENCE OF ALMOST COMPLEX STRUCTURES
MASSEY, WS
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (06) : 559 - &
[33] ALMOST COMPLEX STRUCTURES AND GEOMETRIC QUANTIZATION
Borthwick, David
Uribe, Alejandro
MATHEMATICAL RESEARCH LETTERS, 1996, 3 (06) : 845 - 861
[34] Curvature and Integrability of Almost Complex Structures
Wan, Jianming
PURE AND APPLIED MATHEMATICS QUARTERLY, 2015, 11 (03) : 491 - 502
[35] Almost complex structures on hyperbolic manifolds
Kotschick, D.
MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (01)
[36] ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS
Hrdina, Jaroslav
ARCHIVUM MATHEMATICUM, 2009, 45 (04): : 255 - 264
[37] Almost complex structures on sphere bundles
Ambika, G. V.
Subhash, B.
TOPOLOGY AND ITS APPLICATIONS, 2025, 365
[38] Almost complex structures for symplectic pairs
Her, Hai-Long
TOPOLOGY AND ITS APPLICATIONS, 2018, 235 : 35 - 42
[39] Integrability of rough almost complex structures
C. Denson Hill
Michael Taylor
The Journal of Geometric Analysis, 2003, 13 (1): : 163 - 172
[40] On almost complex structures in the cotangent bundle
Salimov, Arif
Gezer, Aydin
Aslanci, Seher
TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (03) : 487 - 492

← 1 2 3 4 5 →