English

Quaternionic Bundles and Betti Numbers of Symplectic 4-Manifolds with Kodaira Dimension Zero

Symplectic Geometry 2007-05-23 v1 Mathematical Physics Geometric Topology math.MP

Abstract

Symplectic 4-manifolds with Kodaira dimension zero can be viewed as symplectic Calabi-Yau surfaces. We are able to completely determine their Betti numbers by proving two general results on quaternionic vector bundles.

Keywords

Cite

@article{arxiv.math/0612180,
  title  = {Quaternionic Bundles and Betti Numbers of Symplectic 4-Manifolds with Kodaira Dimension Zero},
  author = {Tian-Jun Li},
  journal= {arXiv preprint arXiv:math/0612180},
  year   = {2007}
}