2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75988We determine the topological Euler number of certain moduli space of 1-dimensional closed subschemes in a smooth projective variety which admits a Zariski-locally trivial fibration with 1-dimensional fibers. The main approach is to use virtual Hodge polynomials and torus actions. The results might shed some light on the corresponding Donaldson-Thomas invariants.Added a reference to a recent paper of K. Behrend. To appear in Communications in Analysis and Geometry. 19 pagesAlgebraic Geometry14C05text