A complete degeneration of the moduli of -bundles on a curve
arXiv:1311.6847
Abstract
For a semi simple group G it is known the moduli stack of principal G-bundles over a fixed nodal curve is not complete. Finding a completion requires compactifying the group G. However it was shown in [34] that this is not sufficient to complete the moduli stack over a family of curves. In this paper I describe how to use an embedding of the loop group LG to provide a completion of the stack of G-bundles over a one dimensional family of curves degenerating to a nodal curve. The completion comes with a modular interpretation inspired by the work of Gieseker, Seshadri, Kausz and Thaddeus and Martens.
Significant re-write of section 3 with corresponding adjustments in sections 4 and 5