Chien‐Hao Liu

activity

19952025

most citedTarget Space Duality between Simple Compact Lie Groups and Lie Algebras under the Hamiltonian Formalism: I. Remnants of Duality at the Classical Level

22 citations · 221 across the 45 of their papers we have counts for

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Showing 2013 · math.AGShow all

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math.AG2013★ 2 cited

A mathematical theory of D-string world-sheet instantons, II: Moduli stack of $Z$ -(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 $Z$ -semistable morphisms from general Azumaya nodal curves…

math.AG2013★ 3 cited

A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$ -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…

A mathematical theory of D-string world-sheet instantons, II: Moduli stack of Z-(semi)stable morphisms from Azumaya nodal curves with a fundamental module to a projective Calabi-Yau 3-fold

A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of Z-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold

A mathematical theory of D-string world-sheet instantons, II: Moduli stack of $Z$ -(semi)stable morphisms from Azumaya nodal curves with a fundamental module to a projective Calabi-Yau 3-fold

A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$ -semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold