English

Donaldson invariants of CP^1 x CP^1 and Mock Theta Functions

Differential Geometry 2018-02-01 v2 High Energy Physics - Theory

Abstract

We compute the Moore-Witten regularized u-plane integral on CP^1 x CP^1 directly in a chamber where the elliptic unfolding technique fails to work. This allows us to determine explicit formulas for its SU(2) and SO(3)-Donaldson invariants in terms of Mock modular forms.

Keywords

Cite

@article{arxiv.1008.0175,
  title  = {Donaldson invariants of CP^1 x CP^1 and Mock Theta Functions},
  author = {Andreas Malmendier},
  journal= {arXiv preprint arXiv:1008.0175},
  year   = {2018}
}

Comments

20 pages, LaTex