We study the Gromov invariants of the total space W of a symplectic fibration pi : W --> M, where (M, w) is a symplectic 4-manifold and the fiber is equal to S-2. We find a relation between the Gromov invariants of W and those of M, for the homology classes (A) over cap such that pi((A) over cap) not equal 0. As an application we construct infinitely many symplectic structures on W for M = E(n), the simply connected minimal elliptic surface. (C) 2001 Elsevier Science B.V. All rights reserved.
机构:
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Ding, Yanqiao
Hu, Jianxun
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Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
机构:
Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Korea Inst Adv Study, Seoul 130722, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Park, Jongil
Yun, Ki-Heon
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Sungshin Womens Univ, Dept Math, Seoul 136742, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea