Grassmannian framed bundles and generalized parabolic structures
Algebraic Geometry
2013-11-20 v4 Symplectic Geometry
Abstract
We build compact moduli spaces of Grassmannian framed bundles over a Riemann surface, essentially replacing a group by its bi-invariant compactification. We do this both in the algebraic and symplectic settings, and prove a Hitchin-Kobayashi correspondence between the two. The spaces are universal spaces for parabolic bundles, and the reduction to parabolic bundles commutes with the correspondence. An analogous correspondence is outlined for the generalized parabolic bundles of Bhosle.
Cite
@article{arxiv.1202.4239,
title = {Grassmannian framed bundles and generalized parabolic structures},
author = {Usha Bhosle and Indranil Biswas and Jacques Hurtubise},
journal= {arXiv preprint arXiv:1202.4239},
year = {2013}
}
Comments
45 pages; revised version, with additional explanations and some corrections; final version; final version with typos corrected