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 with the action of the torus…
math.AG2024
Recent developments on Gromov-Witten theory of Hilbert schemes of points on certain surfaces
Mazen Alhwaimel
In This paper, we survey recent progress on the theory of Gromov- Witten invariants on Hilbert schemes of points mainly on elliptic surfaces and simply connected minimal surface of…
math.AG2024
Toward Qin's Conjecture on Hilbert schemes of points and quasi-modular forms
Mazen M Alhwaimel
For a line bundle on a smooth projective surface and nonnegative integers , Okounkov \cite{Oko} introduced the reduced generating series $\big \langle {\r…