English

Donaldson invariants of symplectic manifolds

Symplectic Geometry 2015-03-16 v2 Geometric Topology

Abstract

We prove that symplectic 4-manifolds with b1=0b_1 = 0 and b+>1b^+ > 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.

Keywords

Cite

@article{arxiv.1301.0377,
  title  = {Donaldson invariants of symplectic manifolds},
  author = {Steven Sivek},
  journal= {arXiv preprint arXiv:1301.0377},
  year   = {2015}
}

Comments

21 pages; v2: updated introduction and references