Fermionic forms and quiver varieties
arXiv:math/0610084
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
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Cited by in corpus (9)
- On the number of points of nilpotent quiver varieties over finite fields
- Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
- Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties
- On the number of stable quiver representations over finite fields
- A Superconformal Index for HyperKähler Cones
- Counting Using Hall Algebras I. Quivers
- Motivic classes of Quot-schemes on surfaces
- On the number of points of the Lusztig nilpotent variety over a finite field
- Poincare polynomials of moduli spaces of stable bundles over curves