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math.CO2025
A combinatorial formula for Interpolation Macdonald polynomials
Houcine Ben Dali, Lauren Williams
In 1996, Knop and Sahi introduced a remarkable family of inhomogeneous symmetric polynomials, defined via vanishing conditions, whose top homogeneous parts are exactly the Macdonal…
math.CO2025
Path operators and -tau functions
Houcine Ben Dali, Valentin Bonzom, Maciej Dołęga
We construct a new class of operators that act on symmetric functions with two deformation parameters and . Our combinatorial construction associates each operator with a sp…