Sheaves on fibered threefolds and quiver sheaves

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

13 pages, 2 figures, minor changes

References in corpus (5)

• A Geometric Unification of Dualities
• Geometric Transitions and N=1 Quiver Theories
• Homological algebra of twisted quiver bundles
• Quiver varieties and a non-commutative P^2
• Geometric transitions and integrable systems

Cited by in corpus (10)

• Calabi-Yau algebras
• Moduli of ADHM Sheaves and Local Donaldson-Thomas Theory
• Chamber Structure and Wallcrossing in The ADHM Theory of Curves I
• Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
• Quiver algebras as Fukaya categories
• Intermediate Jacobians and ADE Hitchin Systems
• Noncommutative resolutions of ADE fibered Calabi-Yau threefolds
• The ADHM Variety and Perverse Coherent Sheaves
• Stable quasimaps to holomorphic symplectic quotients
• Meromorphic Higgs bundles And Related Geometries