Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case

Details Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case

1999-04-03

arxiv.org/abs/math/9904012v2

Mathematics

Differential Geometry

43 pages, 8 figures. Updated version. Appeared in "Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifold

Scientific paper

In 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.

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