273 citations · 1.2k across the 39 of their papers we have counts for
7 papers · 2 filters
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).
A reconstruction of Euler data
Bong H. Lian, Chien-Hao Liu, Shing-Tung Yau
We apply the mirror principle of [L-L-Y] to reconstruct the Euler data $Q=\{Q_d\}_{d\in{\tinyBbb N}\cup\{0\}}$ associated to a vector bundle on ${\smallBbb C}{\rm P}^n$ and a m…