Zhenbo Qin

collaborators

3 papers

math.AG2025

Equivariant Chern character operators and Okounkov's conjecture

Mazen M. Alhwaimel, Zhenbo Qin

In this paper, we study the Chern character operators on the equivariant cohomology of the Hilbert schemes of points in the complex affine plane $C^{2}$ with the action of the torus…

math.NT2025

Multiple q-zeta values and traces

Zhenbo Qin

Let $(a)_{\infty} = (a; q)_{\infty} = \prod_{n = 0}^{\infty} (1 - a q^{n})$ . An elegant result of Bloch and Okounkov [BO] states that if $x = e^{z}$ , then $$ \frac{(xq)_\infty (x^{-1}q)_\infty}{(…

math.AG2023

Hilbert schemes of points on surfaces and multiple q-zeta values

Mazen M. Alhwaimel, Zhenbo Qin

For a line bundle $L$ on a smooth projective surface $X$ and nonnegative integers $k_{1}, \dots, k_{N}$ , Okounkov \cite{Oko} introduced the reduced generating series $\big \langle {\r…