Symplectic tori in rational elliptic surfaces
Symplectic tori in rational elliptic surfaces
复制标题
有理椭圆面上的辛环面
DOI：
10.1007/s00208-005-0724-5
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发表时间：
2003
影响因子：
1.4
通讯作者：
B. Park
中科院分区：
文献类型：
--
作者：
T. Etgü;B. Park
设E（1）p表示具有一个多重纤维p的有理椭圆曲面。我们构造了一个无限族的同调非同位素辛环面，它表示E（1）p（p>1）中的本原二维同调类[fp]。由此，我们得到了有理椭圆曲面的纤维类中的无穷多个非同位素辛环面 .我们还展示了如何这些环面可以被非保序嵌入为同源辛子流形在其他辛4-流形。
LetE(1)pdenote the rational elliptic surface with a single multiple fiberfpof multiplicityp. We construct an infinite family of homologous non-isotopic symplectic tori representing the primitive 2-dimensional homology class [fp] inE(1)pwhenp>1. As a consequence, we get infinitely many non-isotopic symplectic tori in the fiber class of the rational elliptic surface . We also show how these tori can be non-isotopically embedded as homologous symplectic submanifolds in other symplectic 4-manifolds.