Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with b^+=1

Details Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with b^+=1 Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with b^+=1

2000-12-07

arxiv.org/abs/math/0012048v3

Mathematics

Symplectic Geometry

36 pages, typos corrected, references added, improved expositions

Scientific paper

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.

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