Sheaves on Fibered Threefolds and Quiver Sheaves.

This 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 $$C\cong{\bf A}^1$$ and special choice of framing, one recovers the N = 1 ADE quiver studied by Cachazo–Katz–Vafa. [ABSTRACT FROM AUTHOR]