Stable Bundles Revisited
The topological classification of complex vector bundles over a Riemann surface is of course very simple: they are classified by one integer c1(E), corresponding to the first Chern class of E. On the other hand, a classification in the complex-analytic—or algebro-geometric—category leads to “continuous moduli” and subtle phenomena which have links with number theory, gauge theory, and conformal field theory. I will try to report briefly on some of these developments here.
- N. J. Hitchin Flat connections and geometric quantization Preprint, 1990Google Scholar
- Oxford Seminar on Jones-Witten Theory, Michael mas Term, 1988.Google Scholar
- T. R. Ramadas Chern-Simons gauge theory and projectively flat vector bundles on µg MIT Preprint, 1989.Google Scholar
- T. Tsuchiya, K. Ueno and T. Yamada,Conf on theory on universal family of stable cur ves with gauge symmetriesAdvanced Studies in Pure Math. 19 (1989) 459-565.Google Scholar
- H. Verlinde and E. VerlindeConformal field theory and geometric quantizationPreprint, Institute for Advanced Study, Princeton, 1989Google Scholar