922 citations · 7.2k across the 348 of their papers we have counts for
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D0-brane realizations of the resolution of a reduced singular curve
Chien-Hao Liu, Shing-Tung Yau
Based on examples from superstring/D-brane theory since the work of Douglas and Moore on resolution of singularities of a superstring target-space via a D-brane probe, the rich…
Period Integrals of CY and General Type Complete Intersections
Bong H. Lian, Shing-Tung Yau
We develop a global Poincaré residue formula to study period integrals of families of complex manifolds. For any compact complex manifold equipped with a linear system of…
Period Integrals and Tautological Systems
Bong H. Lian, Ruifang Song, Shing-Tung Yau
We study period integrals of CY hypersurfaces in a partial flag variety. We construct a holonomic system of differential equations which govern the period integrals. By means of re…
Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande
Chien-Hao Liu, Yu-jong Tzeng, Shing-Tung Yau
The construction of double point cobordism groups of vector bundles on varieties in the work [Lee-P] (arXiv:1002.1500 [math.AG]) of Yuan-Pin Lee and Rahul Pandharipande gives immed…