Sean T. Griffin

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20242026

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3 papers · 1 filter

math.CO2025

On Macdonald expansions of $q$ -chromatic symmetric functions and the Stanley-Stembridge Conjecture

Sean T. Griffin, Anton Mellit, Marino Romero +2

The Stanley-Stembridge conjecture asserts that the chromatic symmetric function of a $(3 + 1)$ -free graph is $e$ -positive. Recently, Hikita proved this conjecture by giving an explic…

math.CO2024

A geometric interpretation of the Delta Conjecture

Maria Gillespie, Eugene Gorsky, Sean T. Griffin

We introduce a variety $Y_{n, k}$ , which we call the \textit{affine $Δ$ -Springer fiber}, generalizing the affine Springer fiber studied by Hikita, whose Borel-Moore homology has an…

math.CO2024

Irreducible components of two-column $Δ$ -Springer fibers

Joshua P. Connor, Sean T. Griffin, Kavish A. Purohit

The $Δ$ -Springer fibers $Y_{n, λ, s}$ , introduced by Levinson, Woo, and the second author, generalize Springer fibers for $GL_{n} (C)$ and give a geometric interpretat…

On Macdonald expansions of q-chromatic symmetric functions and the Stanley-Stembridge Conjecture

A geometric interpretation of the Delta Conjecture

Irreducible components of two-column Δ-Springer fibers

On Macdonald expansions of $q$ -chromatic symmetric functions and the Stanley-Stembridge Conjecture

Irreducible components of two-column $Δ$ -Springer fibers