2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76844In this paper we study the behavior of the spectrum of a compact, connected Riemannian manifold $(M,g)$ of dimension $d \ge 2$, when we add an increasing number of increasingly small handles. No assumptions on any of the curvatures are needed.33 pages. Submitted to Israel J. MathSpectral TheoryDifferential GeometrySpectrum of compact manifolds with high genustext