The rank stable topology of instantons on <IMG ALIGN=BOTTOM >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The rank stable topology of instantons on

Authors:	Jim Bryan Marc Sanders

Affiliation:	Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720-5070 ; Department of Mathematics and Computer Science, Dickinson College, Carlisle, Pennsylvania 17013

Abstract:	Let $% mathcal{M} _{k}^{n}$ be the moduli space of based (anti-self-dual) instantons on $% overline{mathbf {CP}}^2$ of charge and rank . There is a natural inclusion $% mathcal{M} _{k}^{n}hookrightarrow % mathcal{M}_{k}^{n+1}$ . We show that the direct limit space $% mathcal{M}_k^infty$ is homotopy equivalent to . Let $% ell _{infty}$ be a line in the complex projective plane and let $% widetilde{% {mathbf C} % {mathbf{P}}}^{2}$ be the blow-up at a point away from $% ell _{infty}$ . $% mathcal{M} _{k}^{n}$ can be alternatively described as the moduli space of rank holomorphic bundles on $% widetilde{% mathbf{C}% mathbf{P}}^{2}$ with $c_{1}=0$ and $c_{2}=k$ and with a fixed holomorphic trivialization on $% ell _{infty}$ .

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文