Sheaves on fibered threefolds and quiver sheaves

Details Sheaves on fibered threefolds and quiver sheaves Sheaves on fibered threefolds and quiver sheaves

2005-06-15

arxiv.org/abs/math/0506301v2

Commun.Math.Phys.278:627-641,2008

Mathematics

Algebraic Geometry

13 pages, 2 figures, minor changes

Scientific paper

10.1007/s00220-007-0408-y

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\A^1 and special choice of framing, one recovers the N=1 ADE quiver studied by Cachazo--Katz--Vafa.

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