The blowup formula for Donaldson invariants

Mathematics – Algebraic Geometry

Scientific paper

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16 pages, AMS-LaTeX

Scientific paper

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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