J. Haglund

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math.CO2025

$I^\pm$ -chromatic symmetric functions

Jim Haglund, Jaeseong Oh, Meesue Yoo

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

math.CO2024

The super nabla operator

FranÃ§ois Bergeron, Jim Haglund, Alessandro Iraci +1

We consider here a new operator, called ``super nabla'', which is shown to be generic among operators for which the modified Macdonald polynomials are joint eigenfunctions. All pre…

I^±-chromatic symmetric functions

The super nabla operator

$I^\pm$ -chromatic symmetric functions