Atiyah Jones conjecture for blown-up surfaces

Elizabeth Gasparim

Atiyah Jones conjecture for blown-up surfaces

Algebraic Geometry 2008-03-04 v5 Algebraic Topology

Authors: Elizabeth Gasparim

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.

Cite

@article{arxiv.math/0403138,
  title  = {Atiyah Jones conjecture for blown-up surfaces},
  author = {Elizabeth Gasparim},
  journal= {arXiv preprint arXiv:math/0403138},
  year   = {2008}
}

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final version

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