2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196369This paper classifies a class of holomorphic D-branes, closely related to framed torsion-free sheaves, on threefolds fibered in resolved ADE surfaces over a general curve C, in terms of representations with relations of a twisted Kronheimer--Nakajima-type quiver in the category Coh(C) of coherent sheaves on C. For the local Calabi--Yau case C\cong\A^1 and special choice of framing, one recovers the N=1 ADE quiver studied by Cachazo--Katz--Vafa.13 pages, 2 figures, minor changesAlgebraic GeometryHigh Energy Physics - Theorytext