2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59317In this article, we study the twisting procedure of orbifold cohomology. We introduce local system and construct twisted orbifold cohomology. Then, we generalize Vafa-Witten's notion of discrete torsion to general orbifold and examine its relation to local system. Finally, some examples are computed.Revised versionAlgebraic GeometryHigh Energy Physics - TheoryDifferential GeometrySymplectic Geometrytext