2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78319In this paper we give a construction of Lagrangian torus fibration for Fermat type quintic \cy hypersurfaces via the method of gradient flow. We also compute the monodromy of the expected special Lagrangian torus fibration and discuss structures of singular fibers.43 pages, 8 figures. Updated version. Appeared in "Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds", edited by S.-T. Yau and C. Vafa, AMS and International PressDifferential GeometryAlgebraic GeometrySymplectic GeometryLagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic casetext