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math.AG2013★ 2 cited
A mathematical theory of D-string world-sheet instantons, II: Moduli stack of -(semi)stable morphisms from Azumaya nodal curves with a fundamental module to a projective Calabi-Yau 3-fold
Chien-Hao Liu, Shing-Tung Yau
In this Part II, D(10.2), of D(10), we take D(10.1) (arXiv:1302.2054 [math.AG]) as the foundation to define the notion of -semistable morphisms from general Azumaya nodal curves…
math.AG2013★ 1 cited
On the Holonomic Rank Problem
Spencer Bloch, An Huang, Bong H. Lian +2
A tautological system, introduced in \cite{LSY}\cite{LY}, arises as a regular holonomic system of partial differential equations that govern the period integrals of a family of com…
math.AG2013★ 3 cited
A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of -semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold
Chien-Hao Liu, Shing-Tung Yau
In a suitable regime of superstring theory, D-branes in a Calabi-Yau space and their most fundamental behaviors can be nicely described mathematically through morphisms from Azumay…