Fermionic form and Betti numbers

Abstract

We state a conjectural relationship between the fermionic form (G. Hatayama, A. Kuniba, M. Okado, T. Takagi, Y. Yamada qa/9812022) and the Betti numbers of a Grassmannian over a preprojective algebra or, equivalently, of a lagrangian quiver variety.

7 pages, amstex; a misprint in Section 6 and one just before Section 8 is corrected

References in corpus (2)

• Dilogarithm identities
• A bijection between Littlewood-Richardson tableaux and rigged configurations

Cited by in corpus (6)

• Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform
• Fermionic forms and quiver varieties
• Comments on my papers
• Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties
• Fermionic spectra in integrable systems
• Intersection cohomology of hypertoric varieties