2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74990We introduce a deformed topological vertex and use it to define deformations of the topological string partition functions of some local Calabi-Yau geometries. We also work out some examples for which such deformations satisfy a deformed Gopakumar-Vafa integrality and can be identified with the equivariant indices of some naturally defined bundles on the framed moduli spaces.33 pagesAlgebraic GeometryMathematical Physicstext