4 papers
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…
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…
Schröder Paths, Their Generalizations and Knot Invariants
Ce Ji, Qian Tang, Chenglang Yang
We study some kinds of generalizations of Schröder paths below a line with rational slope and derive the -difference equations that are satisfied by their generating functions.…
A generalization of the Witten conjecture through spectral curve
Shuai Guo, Ce Ji, Qingsheng Zhang
We propose a generalization of the Witten conjecture, which connects a descendent enumerative theory with a specific reduction of KP integrable hierarchy. Our conjecture is realize…