13 papers
On two families of Nekrasov-Okounkov type formulas
Chenglang Yang
In this paper, we use the vacuum expectation value formula of the topological vertex and its rotation symmetry to derive two families of Nekrasov-Okounkov type formulas. Each famil…
A remark on certain restricted plane partitions and crystal melting model
Chenglang Yang
In this paper, we provide formulas to calculate the partition functions of two types of plane partitions using the crystal melting model introduced by Okounkov, Reshetikhin and Vaf…
Generalized Kontsevich model, topological recursion, and -spin theory
Shuai Guo, Ce Ji, Chenglang Yang +1
By employing polynomial-reduced KP integrability, combined with the string equation, this work establishes explicit relationships between the generalized Kontsevich model, the topo…
Correlation Function of Self-Conjugate Partitions: -Difference Equation and Quasimodularity
Zhiyong Wang, Chenglang Yang
In this paper, we study the uniform measure for the self-conjugate partitions. We derive the -difference equation which is satisfied by the -point correlation function relate…
The -Point Function of -Core Partitions and Topological Vertex
Chenglang Yang
In this paper, we study the -point function of -core partitions. The main tool is the topological vertex, originally developed to study the topological string theory for tori…
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 mult…