Ben Goodberry
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View article: A Geometric Realization of Partially-Symmetric Macdonald Polynomials
A Geometric Realization of Partially-Symmetric Macdonald Polynomials Open
We formulate a precise conjecture relating integral form partially-symmetric Macdonald polynomials and the parabolic flag Hilbert schemes of Carlsson, Gorsky, and Mellit. This extends, in an explicit fashion, Haiman's realization of modifi…
View article: Type A Partially-Symmetric Macdonald Polynomials
Type A Partially-Symmetric Macdonald Polynomials Open
We construct type A partially-symmetric Macdonald polynomials $P_{(λ\mid γ)}$, where $λ\in \mathbb{Z}_{\geq 0}^{n-k}$ is a partition and $γ\in \mathbb{Z}_{\geq 0}^k$ is a composition. These are polynomials which are symmetric in the first …