27 citations · 101 across the 16 of their papers we have counts for
8 papers · 1 filter
Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau
Bjorn Andreas, Gottfried Curio, Daniel Hernandez Ruiperez +1
Fibrewise T-duality (Fourier-Mukai transform) for D-branes on an elliptic Calabi-Yau three-fold is seen to have an expected adiabatic form for its induced cohomology operation…
A Survey of Mirror Principle
Bong H. Lian, Kefeng Liu, Shing-Tung Yau
This note briefly reviews the {\it Mirror Principle} as developed in the series of papers \LLYI\LLYII\LLYIII\LLYIV\LCHY. We illustrate this theory with a few new examples. One of t…
Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces
Yi Hu, Chien-Hao Liu, Shing-Tung Yau
Special fibrations of toric varieties have been used by physicists, e.g. the school of Candelas, to construct dual pairs in the study of Het/F-theory duality. Motivated by this, we…
Maximal Unipotent Monodromy for Complete Intersection CY Manifolds
Bong H. Lian, Andrey Todorov, Shing-Tung Yau
The computations that are suggested by String Theory in the B model requires the existence of degenerations of CY manifolds with maximum unipotent monodromy. In String Theory such…
Mirror Principle IV
Bong H. Lian, Kefeng Liu, Shing-Tung Yau
This is a continuation of "Mirror Principle III"(math.AG/9912038).
From Special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform
Naichung Conan Leung, Shing-Tung Yau, Eric Zaslow
We exhibit a transformation taking special Lagrangian submanifolds of a Calabi-Yau together with local systems to vector bundles over the mirror manifold with connections obeying d…