Quantization of some moduli spaces of parabolic vector bundles on CP^1

Abstract

We address quantization of the natural symplectic structure on a moduli space of parabolic vector bundles of parabolic degree zero over ${\mathbf{CP}}^1$ with four parabolic points and parabolic weights in {0,1/2}. Identifying such parabolic bundles as vector bundles on an elliptic curve, we obtain explicit expressions for the corresponding non-abelian theta functions. These non-abelian theta functions are described in terms of certain naturally defined distributions on the compact group SU(2).

17 pages

References in corpus (1)

• Coherent State Transforms and Vector Bundles on Elliptic Curves