Open Access
2003 SYMPLECTIC SURFACES IN SYMPLECTIC 4-MANIFOLDS
Mi Sung Cho, Yong Seung Cho
Taiwanese J. Math. 7(1): 77-87 (2003). DOI: 10.11650/twjm/1500407518

Abstract

Let a closed, minimal, symplectic 4-manifold $X$ contain a symplectic surface $F$ such that the genus $g$ of $F$ is greater than or equal to one and the value $c_1(TX)[F]\gt g$. Then we show that the space $X$ is rational or ruled.

Citation

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Mi Sung Cho. Yong Seung Cho. "SYMPLECTIC SURFACES IN SYMPLECTIC 4-MANIFOLDS." Taiwanese J. Math. 7 (1) 77 - 87, 2003. https://doi.org/10.11650/twjm/1500407518

Information

Published: 2003
First available in Project Euclid: 18 July 2017

zbMATH: 1032.57018
MathSciNet: MR1961040
Digital Object Identifier: 10.11650/twjm/1500407518

Subjects:
Primary: 57N13 , 58F03

Keywords: Gromov invariant , rational surface , ruled surface , Seiberg-Witten invariant

Rights: Copyright © 2003 The Mathematical Society of the Republic of China

Vol.7 • No. 1 • 2003
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