A noncommutative generalization of the Jacobi triple product identity is proven and applied to factorize q-characters of circular quiver gauge theories into infinite products.
The blowup formula for Donaldson invariants
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abstract
In this paper we present a formula which relates the Donaldson invariants of a 4-manifold X with the Donaldson invariants of its blowup X#-CP(2). This blow-up formula is independent of X and involves sigma-functions associated to a naturally arising elliptic function. This, the final version, corrects some earlier misconceptions regarding signs.
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Noncommutative Jacobi identity, and gauge theory
A noncommutative generalization of the Jacobi triple product identity is proven and applied to factorize q-characters of circular quiver gauge theories into infinite products.