6 papers
D-brane Superpotentials and Geometric Invariants in Complete Intersection Calabi-Yau Manifolds
Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang
By blowing up the ambient space along the curve wrapped by B-branes, we study the brane superpotentials and Ooguri-Vafa invariants on complete intersections Calabi-Yau threefolds.…
Open Topological String Amplitudes and BPS Invariants on Complete Intersection Calabi-Yau Threefolds
Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang
Open topological string partition function on compact Calabi-Yau threefolds satisfies the extended holomorphic anomaly equation. By direct integration, we solve these equations and…
Open Topological String Amplitudes on Calabi-Yau Threefolds by Extended Holomorphic Anomaly Equation
Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang
In this paper, we study the open topological string amplitudes on Calabi-Yau threefolds by the extended holomorphic anomaly equation. The disk two-point function determined by the…
Superpotentials of D-branes in Calabi-Yau Manifolds with Several Moduli by Mirror Symmetry and Blown-up
Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang
We study B-brane superpotentials depending on several closed- and open- moduli on Calabi-Yau hypersurfaces and complete intersections. By blowing up the ambient space along a curve…
The Number of Rational Points of Two Parameter Calabi-Yau manifolds as Toric Hypersurfaces
Yuan-Chun Jing, Xuan Li, Fu-Zhong Yang
The number of rational points in toric data are given for two-parameter Calabi-Yau -folds as toric hypersurfaces over finite fields . We find that the fundamental…
The Jordan-Chevalley decomposition and Jordan canonical form of a quaternionic linear operator
Han Gang, Yu Jing, Sun Zheyu
We introduce some basic notions and results for quaternionic linear operators analogous to those for complex linear operators. Our main result is to prove the additive and multipli…