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arxiv: 1008.0175 · v2 · pith:366VO2NInew · submitted 2010-08-01 · 🧮 math.DG · hep-th

Donaldson invariants of CP¹ x CP¹ and Mock Theta Functions

classification 🧮 math.DG hep-th
keywords donaldsoninvariantsmockallowschambercomputedeterminedirectly
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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.

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