Jaeseong Oh

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20242026

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math.CO2024

Extending the science fiction and the Loehr--Warrington formula

Donghyun Kim, Jaeseong Oh

We introduce the Macdonald piece polynomial $I_{μ, λ, k} [X; q, t]$ , which is a vast generalization of the Macdonald intersection polynomial in the science fiction conjec…

math.CO2024

$α$ -chromatic symmetric functions

Jim Haglund, Jaeseong Oh, Meesue Yoo

In this paper, we introduce the \emph{ $α$ -chromatic symmetric functions} $χ_{π}^{(α)} [X; q]$ , extending Shareshian and Wachs' chromatic symmetric functions with an additional real par…

Extending the science fiction and the Loehr--Warrington formula

α-chromatic symmetric functions

$α$ -chromatic symmetric functions