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We compute the Moore-Witten regularized u-plane integral on CP^1 x CP^1directly 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)-Donaldsoninvariants in terms of Mock modular forms.

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