Ben Goodberry

collaborators

2 papers

math.CO2023

Type A Partially-Symmetric Macdonald Polynomials

Ben Goodberry

We construct type A partially-symmetric Macdonald polynomials $P_{(λ ∣ γ)}$ , where $λ \in Z_{\geq 0}^{n - k}$ is a partition and $γ \in Z_{\geq 0}^{k}$ is a compositi…

math.CO2023

A Geometric Realization of Partially-Symmetric Macdonald Polynomials

Ben Goodberry, Daniel Orr

We formulate a precise conjecture relating integral form partially-symmetric Macdonald polynomials and the parabolic flag Hilbert schemes of Carlsson, Gorsky, and Mellit. This exte…