2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101943We prove an analog of the Tian-Todorov theorem for twisted generalized Calabi-Yau manifolds; namely, we show that the moduli space of generalized complex structures on a compact twisted generalized Calabi-Yau manifold is unobstructed and smooth. We also construct the extended moduli space and study its Frobenius structure. The physical implications are also discussed.28 pages; typos corrected; Lemma 2 slightly generalized and one appendix addedHigh Energy Physics - TheoryDifferential Geometrytext