Taniguchi Lecture on Principal Bundles on Elliptic Fibrations

Abstract

In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).

arXiv comment17 pages, Latex

References in corpus (3)

• Vector Bundles And F Theory
• Moduli in N=1 heterotic/F-theory duality
• Principal G-bundles over elliptic curves

Cited by in corpus (9)

• New Aspects of Heterotic--F Theory Duality
• Codimension-3 Singularities and Yukawa Couplings in F-theory
• More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
• Crossing the Wall: Branes vs. Bundles
• Fourier Mukai Transforms and Applications to String Theory
• N=2 Heterotic-Type II duality and bundle moduli
• Fourier-Mukai partners of singular genus one curves
• Higgs Multiplets in Heterotic GUT Models
• Derived equivalences and Kodaira fibers