3 papers
math-ph2025
Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP integrability
Zhiyuan Wang, Chenglang Yang, Jian Zhou
Aganagic, Dijkgraaf, Klemm, Mariño and Vafa \cite{adkmv} predicted that the open string partition function on a smooth toric Calabi--Yau threefold should be a tau-function of multi…
math.CO2025
The structures of simple Hurwitz numbers and monotone Hurwitz numbers with varying genus
Chenglang Yang
We study the structures of ordinary simple Hurwitz numbers and monotone Hurwitz numbers with varying genus. More precisely, we prove that when the ramification type is fixed and th…
math-ph2025
The bilinear fermionic form for KP and BKP hierarchies
Shuai Guo, Ce Ji, Chenglang Yang
For a tau-function of the KP or BKP hierarchy, we introduce the notion of lifting operator and derive an equation connecting the corresponding fermionic two-point function and ferm…