2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152103We announce the following result and give several applications: A Hamiltonian $T$-space (for $T$ a torus) with isolated fixed points is cobordant to a disjoint union of weighted projective spaces which are constructed from its fixed point data. The applications concern the Duistermaat-Heckman formula, the topological Jeffrey-Kirwan localization theorem, and geometric quantization.14 pages, AMS-LaTeXDifferential Geometrytext