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

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.

arXiv comment20 pages, LaTex

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