Abstract
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.
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Communicated by M.R. Douglas
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Szendrői, B. Sheaves on Fibered Threefolds and Quiver Sheaves. Commun. Math. Phys. 278, 627–641 (2008). https://doi.org/10.1007/s00220-007-0408-y
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DOI: https://doi.org/10.1007/s00220-007-0408-y