Communications in Mathematical Physics

, Volume 278, Issue 3, pp 627–641 | Cite as

Sheaves on Fibered Threefolds and Quiver Sheaves

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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.

Keywords

Modulus Space Vector Bundle Line Bundle Coherent Sheave Free Sheaf 
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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of MathematicsUtrecht UniversityUtrechtThe Netherlands
  2. 2.Mathematical InstituteUniversity of OxfordOxfordUK

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