Indecomposability of certain Lefschetz fibrations

被引：23
|
作者：
Stipsicz, AI
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
[2] ELTE TTK, Dept Anal, H-1088 Budapest, Hungary
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 05期
关键词：
4-manifolds; Lefschetz fibrations; vanishing cycles;
D O I：
10.1090/S0002-9939-00-05681-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that Lefschetz fibrations admitting a section of square -1 cannot be decomposed as fiber sums. In particular, Lefschetz fibrations on symplectic 4-manifolds found by Donaldson are indecomposable. This observation also shows that symplectic Lefschetz fibrations are not necessarily fiber sums of holomorphic ones.
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页码：1499 / 1502
页数：4
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