The Rank Stable Topology of Instantons on $\cpbar$
| dc.creator | Bryan, Jim | |
| dc.creator | Sanders, Marc | |
| dc.date | 1996-10-09 | |
| dc.date.accessioned | 2026-07-07T09:07:00Z | |
| dc.date.available | 2026-07-07T09:07:00Z | |
| dc.description | Let $\M_{k}^{n}$ be the moduli space of based (anti-self-dual) instantons on $\cpbar$ of charge $k$ and rank $n$. There is a natural inclusion of rank $n$ instantons into rank $n+1$. We show that the direct limit space is homotopy equivalent to $BU(k)\times BU(k)$. The moduli spaces also have the following algebro-geometric interpretation: Let $\linf$ be a line in the complex projective plane and consider the blow-up at a point away from $\linf$. $\M _{k}^{n}$ can be described as the moduli space of rank $n$ holomorphic bundles on the blownup projective plane with $c_{1}=0$ and $c_{2}=k$ and with a fixed holomorphic trivialization on $\linf$. | |
| dc.description | LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9610008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9610008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150216 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Rank Stable Topology of Instantons on $\cpbar$ | |
| dc.type | text |