Gorsky–Negut rational Shuffle Conjecture for Hikita polynomials
Gorsky–Negut rational Shuffle Conjecture for Hikita polynomials
Let be a coprime pair of positive integers, let be the set of rational parking functions, and let be the associated Hikita polynomial. Let be the corresponding symmetric-function operator.
Gorsky–Negut rational Shuffle Conjecture. For all coprime pairs of positive integers ,
This is the rational analogue of the Shuffle Conjecture, relating the operator construction to Hikita polynomials. No resolution evidence is supplied in the text.
Sources & referencesView supporting material
Primary source
Francois Bergeron, Adriano Garsia, Emily Leven and Guoce Xin, “Compositional (km,kn)-Shuffle Conjectures”, arXiv:1404.4616 (2014).
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