Existence of symplectic structures on torus bundles over surfaces

被引：6

作者：

Walczak, R

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2005年 / 28卷 / 03期

关键词：

SW-invariant; symplectic form; Thurston norm;

D O I：

10.1007/s10455-005-8500-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be the total space of a locally trivial torus bundle over a surface Sigma(g) of genus g > 1. Using Seiberg-Witten theory and spectral sequences, we prove that E carries a symplectic structure if and only if the homology class of the fiber [T-2] is nonzero in H-2(E, R).

引用

页码：211 / 231

页数：21

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