Poincare polynomials of moduli spaces of stable bundles over curves

Abstract

Given a curve over a finite field, we compute the number of stable bundles of not necessarily coprime rank and degree over it. We apply this result to compute the virtual Poincare polynomials of the moduli spaces of stable bundles over a curve. A similar formula for the virtual Hodge polynomials and motives is conjectured.

20 pages

References in corpus (3)

• A computational criterion for the Kac conjecture
• Fermionic forms and quiver varieties
• On the number of stable quiver representations over finite fields