2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54965We analyse higher order background independence conditions arising from multiple commutators of background deformations in quantum closed string field theory. The conditions are shown to amount to a vanishing theorem for $Δ_S$ cohomology classes. This holds by virtue of the existence of moduli spaces of higher genus surfaces with two kinds of punctures. Our result is a generalisation of a previous genus zero analysis relevant to the classical theory.23 pages, phyzzxHigh Energy Physics - Theorytext