Framed Parabolic sheaves on a trinion

Abstract

We consider for structure groups $\mathrm{SU}(n)\subset \mathrm{SL}(n,\mathbb{C})$ a densely defined toric structure on the moduli of framed parabolic sheaves on a three-punctured sphere, which degenerates to an actual toric structure. In combination with previous degeneration results, these extend to similar moduli for arbitrary Riemann surfaces.

21 pages