The space of tamed almost complex structures on symplectic 4-manifolds via symplectic spheres

被引：0

作者：

Li, Jun ^{[1
]}

Li, Tian-Jun ^{[2
]}

Wu, Weiwei ^{[3
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[3] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2022年 / 13卷 / 02期

关键词：

Sympledic; 4-manifolds; almost complex structure; SYMPLECTOMORPHISM GROUPS; (-2)-SPHERES; TOPOLOGY; BALLS; CONE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we study a fine decomposition of the;pace of tamed almost complex structures for symplectic 4 manifolds via symplectic spheres. We also show that every tarried almost complex structure on a rational surface other than CP2 is fibred.

引用

页码：651 / 670

页数：20

共 50 条

[1] SYMPLECTIC 4-MANIFOLDS VIA SYMPLECTIC SURGERY ON COMPLEX SURFACE SINGULARITIES
Park, Heesang
Stipsicz, Andras I.
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (04) : 1213 - 1223
[2] IMMERSED SPHERES IN SYMPLECTIC 4-MANIFOLDS
MCDUFF, D
[J]. ANNALES DE L INSTITUT FOURIER, 1992, 42 (1-2) : 369 - 392
[3] Complex and symplectic structures on panelled web 4-manifolds
Kalafat, Mustafa
Arguez, Huelya
[J]. TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (08) : 2168 - 2173
[4] Smoothly embedded spheres in symplectic 4-manifolds
Li, TJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (02) : 609 - 613
[5] Symplectic surfaces in symplectic 4-manifolds
Cho, MS
Cho, YS
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2003, 7 (01): : 77 - 87
[6] SYMPLECTIC 4-MANIFOLDS VIA LORENTZIAN GEOMETRY
Aazami, Amir Babak
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (01) : 387 - 394
[7] Symplectic couples on 4-manifolds
Geiges, H
[J]. DUKE MATHEMATICAL JOURNAL, 1996, 85 (03) : 701 - 711
[8] 4-manifolds with a symplectic bias
da Silva, Ana Cannas
[J]. GEOMETRY AND PHYSICS XVI INTERNATIONAL FALL WORKSHOP, 2008, 1023 : 34 - 54
[9] Uniruled Symplectic 4-Manifolds
Wendl, Chris
[J]. HOLOMORPHIC CURVES IN LOW DIMENSIONS: FROM SYMPLECTIC RULED SURFACES TO PLANAR CONTACT MANIFOLDS, 2018, 2216 : 133 - 189
[10] Symplectic symmetries of 4-manifolds
Chen, Weimin
Kwasik, Slawomir
[J]. TOPOLOGY, 2007, 46 (02) : 103 - 128

← 1 2 3 4 5 →