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.CO2024
Möbius Inversion and Duality for Summations of Stable Graphs
Zhiyuan Wang, Jian Zhou
Using the stratifications of Deligne-Mumford moduli spaces indexed by stable graphs, we introduce a partially ordered set of stable graphs by defining…
math-ph2024
On a Proof of the ADKMV Conjecture -- -KP Integrability of the Topological Vertex
Zhiyuan Wang, Chenglang Yang, Jian Zhou
We present a mathematical proof of the Aganagic-Dijkgraaf-Klemm-Mariño-Vafa Conjecture proposed in 2006, which states that the generating function of the topological vertex, i.e.,…