Quantization of some moduli spaces of parabolic vector bundles on CP^1
Algebraic Geometry
2021-05-25 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We address quantization of the natural symplectic structure on a moduli space of parabolic vector bundles of parabolic degree zero over 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).
Keywords
Cite
@article{arxiv.1111.4838,
title = {Quantization of some moduli spaces of parabolic vector bundles on CP^1},
author = {Indranil Biswas and Carlos Florentino and José Mourão and João P. Nunes},
journal= {arXiv preprint arXiv:1111.4838},
year = {2021}
}
Comments
17 pages