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The blowup formula for Donaldson invariants

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arxiv alg-geom/9405002 v2 pith:EFCMCS5I submitted 1994-05-09 alg-geom math.AG

Ronald Fintushel , Ronald Stern This is my paper · ORCID
classification alg-geommath.AG
keywords donaldsonformulainvariantsblowuparisingassociatedblow-upcorrects
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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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  1. Noncommutative Jacobi identity, and gauge theory

    math-ph 2024-11 conditional novelty 7.0 of 10

    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.

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