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19992004
most citedLagrangian torus fibration of quintic Calabi-Yau hypersurfaces II: Technical results on gradient flow construction

15 citations · 22 across the 8 of their papers we have counts for

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Showing 2003Show all

7 papers · 1 filter

math.SG2003

Deformation of integral coisotropic submanifolds in symplectic manifolds

Wei-Dong Ruan

In this paper we prove the unobstructedness of the deformation of integral coisotropic submanifolds in symplectic manifolds, which can be viewed as a natural generalization of resu…

math.DG20031 cited

Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition

Wei-Dong Ruan

In this paper we show that the convergence of complete Kahler-Einstein hypersurfaces in complex torus in the sense of Cheeger-Gromov will canonically degenerate the underlying mani…

math.DG20033 cited

Generalized special Lagrangian fibration for Calabi-Yau hypersurfaces in toric varieties III: The smooth fibres

Wei-Dong Ruan

In this paper we construct all smooth torus fibres of the generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties near the large complex lim…

math.DG20032 cited

H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds

Wei-Dong Ruan

H-minimal Lagrangian submanifolds in general Kähler manifolds generalize special Lagrangian submanifolds in Calabi-Yau manifolds. In this paper we will use the deformation theory o…

math.DG20031 cited

Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties II

Wei-Dong Ruan

In this paper we construct monodromy representing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties near the large complex limit.

math.DG2003

Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties I

Wei-Dong Ruan

In this paper we start the program of constructing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric variety near the large complex limit, with…