2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59101We 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 correctedQuantum AlgebraFermionic form and Betti numberstext