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Atiyah Jones conjecture for blown-up surfaces

Elizabeth Gasparim
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Abstract

We show that if the Atiyah Jones conjecture holds for a surface $X,$ then it also holds for the blow-up of $X$ at a point. Since the conjecture is known to hold for ${\mathbb P}^2$ and for ruled surfaces, it follows that the conjecture is true for all rational surfaces.

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Elizabeth Gasparim. 2008-03-04. Atiyah Jones conjecture for blown-up surfaces. https://arxiv.org/abs/math/0403138

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