Universal Virasoro Constraints for Quivers with Relations

Author:

Arkadij Bojko

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Representation Theory (math.RT)

journal:

date:

2023-10-26 16:00:00

Abstract

Following our reformulation of sheaf-theoretic Virasoro constraints with applications to curves and surfaces joint with Lim--Moreira, I describe in the present work the quiver analog. After phrasing a universal approach to Virasoro constraints for moduli of quiver-representations, I prove them for any finite quiver with relations, with frozen vertices, but without loops. I use partial flag varieties as a guiding example throughout but the most exciting upshot is an independent, self-contained proof of Virasoro constraints for Mumford (semi)stable torsion-free sheaves on the projective plane.

PDF: Universal Virasoro Constraints for Quivers with Relations.pdf