2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228384We prove that any quasitoric manifold $M^{2n}$ admits a $T^n$-invariant almost complex structure if and only if $M$ admits a positive omniorientation. In particular, we show that all obstructions to existence of $T^n$-invariant almost complex structure on $M^{2n}$ arise from cohomology of underlying polytope - and hence are trivial.Algebraic TopologyGeometric Topologytext