Donaldson invariants of symplectic manifolds

Abstract

We prove that symplectic 4-manifolds with $b_1=0$ and $b^{+}>1$ have nonvanishing Donaldson invariants, and that the canonical class is always a basic class. We also characterize in many situations the basic classes of a Lefschetz fibration over the sphere which evaluate maximally on a generic fiber.

21 pages; v2: updated introduction and references

References in corpus (1)

• Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces

Cited by in corpus (3)

• Naturality in sutured monopole and instanton homology
• Stein fillings and SU(2) representations
• Small Heegaard genus and SU(2)