2005/10/18 by Aaron Bergman, Nicholas Proudfoot, Nicholas J. Proudfoot
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Component (thermodynamics) #Computer science #Cone (formal languages) #Fano plane #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematics #Moduli #Moduli space #Physics #Pure mathematics #Quantum mechanics #Quiver #Space (punctuation) #Surface (topology) #hep-th #math.AG
paper · pdf · doi:10.1088/1126-6708/2006/03/073
published as JHEP0603:073,2006 · 8 pages
arxiv created 2005/10/18 · openalex publication_date 2006/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
For physicists: We show that the quiver gauge theory derived from a Calabi-Yau cone via an exceptional collection of line bundles on the base has the original cone as a component of its classical moduli space. For mathematicians: We use data from the derived category of sheaves on a Fano surface to construct a quiver, and show that its moduli space of representations has a component which is isomorphic to the anticanonical cone over the surface.