Wan Keng Cheong

activity

20092026

most citedOrbifold quantum cohomology of the symmetric product of A_r

3 citations · 6 across the 8 of their papers we have counts for

collaborators

9 papers

math.RT2026

The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra

Bintao Cao, Wan Keng Cheong, Ngau Lam

Let $A_{g}^{z}$ be the Gaudin algebra for the general linear Lie (super)algebra $g$ with respect to a sequence $z \in C^{ℓ}$ of…

math.RT2025

Dualities of Gaudin models with irregular singularities for general linear Lie (super)algebras

Wan Keng Cheong, Ngau Lam

We prove an equivalence between the actions of the Gaudin algebras with irregular singularities for $gl_{d}$ and $gl_{p + m ∣ q + n}$ on the Fock space of $d (p + m)$ bo…

math.RT2025

Bethe algebras for unitarizable modules over classical Lie (super)algebras and a duality

Wan Keng Cheong, Ngau Lam

Let $g$ denote the classical Lie algebra $gl_{d}$ , $sp_{2 d}$ , or $so_{2 d}$ with a fixed $*$ -structure $σ$ . Let $M_{1}, \dots, M_{ℓ}$ be un…

math.RT2024

The Gaudin model for the general linear Lie superalgebra and the completeness of the Bethe ansatz

Wan Keng Cheong, Ngau Lam

Let $B_{m ∣ n} (z)$ be the Gaudin algebra of the general linear Lie superalgebra $gl_{m ∣ n}$ with respect to a sequence $\underline{\bold…

math.RT2023

Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras

Bintao Cao, Wan Keng Cheong, Ngau Lam

We show that under a generic condition, the quadratic Gaudin Hamiltonians associated to $gl (p + m ∣ q + n)$ are diagonalizable on any singular weight space in any tensor produ…

math-ph2023★ 2 cited

Gaudin Hamiltonians on unitarizable modules over classical Lie (super)algebras

Wan Keng Cheong, Ngau Lam

Let $M$ be a tensor product of unitarizable irreducible highest weight modules over the Lie (super)algebra $G$ , where $G$ is $gl (m ∣ n)$ , $\mathfrak{os…

math.AG2011

Strengthening the Cohomological Crepant Resolution Conjecture for Hilbert-Chow morphisms

Wan Keng Cheong

Given any smooth toric surface S, we prove a SYM-HILB correspondence which relates the 3-point, degree zero, extended Gromov-Witten invariants of the n-fold symmetric product stack…

math.AG2009★ 1 cited

Connected Gromov-Witten invariants of [Sym^n(A_r)]

Wan Keng Cheong, Amin Gholampour

We explore the theory of connected Gromov-Witten invariants of the symmetric product stack [Sym^n(A_r)]. We derive closed-form expressions for all equivariant invariants with two i…

math.AG2009★ 3 cited

Orbifold quantum cohomology of the symmetric product of A_r

Wan Keng Cheong

Let A_r be the minimal resolution of the cyclic quotient singularity C^2/Z_{r+1}. We study the equivariant quantum cohomology ring of the n-fold symmetric product stack [Sym^n(A_r)…