# Topological Quantum Field Theory Seminar

### Instantons, Holomorphic Bundles and the Bar Construction

One version of the Kobayashi-Hitchin correspondence relates moduli spaces of instantons on blow ups of ${C}^{2}$ trivialized at $\infty$, with holomorphic bundles on blow ups of ${\mathrm{CP}}^{2}$ framed on a line. In the rank stable limit these moduli spaces can be described using a bar construction.