Fermionic forms and quiver varieties

Abstract

We prove a formula relating the fermionic forms and the Poincare polynomials of quiver varieties associated to a finite quiver. Applied to quivers of type ADE, our result implies a version of the fermionic conjecture of Lusztig.

24 pages, essentially modified

References in corpus (2)

• On the multiplicities of the irreducible highest weight modules over Kac-Moody algebras
• The Kirillov-Reshetikhin conjecture and solutions of T-systems

Cited by in corpus (2)

• On the number of stable quiver representations over finite fields
• Poincare polynomials of moduli spaces of stable bundles over curves