2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/284We prove that rational homology of the Torelli group of genus g is infinite dimensional, provided g>6. This means that rational homology of the Torelli space of genus g>6 is infinite dimensional. The Torelli groups with marked points are also considered. In addition, we prove that rational homology of the subgroup of the Torelli group of genus g generated by all the Dehn twists along separating simple closed curves is infinite dimensional for g>2.AMSLaTeX v.1.2, 6 pagesAlgebraic GeometryDifferential GeometryQuantum Algebra55R40, 32G15, 20F38 (Primary) 20J99, 57M99 (Secondary)text