Smooth models of quiver moduli

Abstract

For any moduli space of stable representations of quivers, certain smooth varieties, compactifying projective space fibrations over the moduli space, are constructed. The boundary of this compactification is analyzed. Explicit formulas for the Betti numbers of the smooth models are derived. In the case of moduli of simple representations, explicit cell decompositions of the smooth models are constructed.

37 pages, notations and typo corrected, references updated, new examples

References in corpus (2)

• Absolutely indecomposable representations and Kac-Moody Lie algebras (with an appendix by Hiraku Nakajima)
• Cohomology of non-commutative Hilbert schemes

Cited by in corpus (8)

• Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants
• Moduli of representations of quivers
• Poisson automorphisms and quiver moduli
• On the number of stable quiver representations over finite fields
• Morphological effects on surface plasmon polaritons at the planar interface of a metal and a columnar thin film The Planar Interface Of A Metal And A Columnar Thin Film
• Quivers, curves, and the tropical vertex
• Engineering the phase speed of surface-plasmon wave at the planar interface of a metal and a chiral sculptured thin film
• Sculptured-thin-film plasmonic-polaritonics