Journal of Differential Geometry

Uniqueness of Symplectic Canonical Class, Surface Cone and Symplectic Cone of 4-Manifolds with B+ = 1

Tian-Jun Li and Ai-Ko Liu

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Abstract

Let M be a closed oriented smooth 4-manifold admitting symplectic structures. If M is minimal and has b+ = 1, we prove that there is a unique symplectic canonical class up to sign, and any real second cohomology class of positive square is represented by symplectic forms. Similar results hold when M is not minimal.

Article information

Source
J. Differential Geom., Volume 58, Number 2 (2001), 331-370.

Dates
First available in Project Euclid: 20 July 2004

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1090348329

Digital Object Identifier
doi:10.4310/jdg/1090348329

Mathematical Reviews number (MathSciNet)
MR1913946

Zentralblatt MATH identifier
1051.57035

Citation

Li, Tian-Jun; Liu, Ai-Ko. Uniqueness of Symplectic Canonical Class, Surface Cone and Symplectic Cone of 4-Manifolds with B + = 1. J. Differential Geom. 58 (2001), no. 2, 331--370. doi:10.4310/jdg/1090348329. https://projecteuclid.org/euclid.jdg/1090348329


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