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.
References
Primary source
Francois Bergeron, Adriano Garsia, Emily Leven and Guoce Xin, “Compositional (km,kn)-Shuffle Conjectures”, arXiv:1404.4616 (2014).
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