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math.CO2026
Matching algebras and their Dunkl subalgebras
Darij Grinberg, Anatol Kirillov, Boris Shapiro
For a finite simple graph , we consider the quotient algebra of the polynomial ring in the variables (for ) by the ideal generated by all…
hep-th2026
A Matrix Model for Higher-Genus Fuss--Catalan Numbers
Anatol Kirillov, Ivan Kostov
The genus-g Fuss--Catalan (FC) number counts the number of ways to obtain a genus-g surface by identifying the edges of a pn-gon via p-valent hyperedges. For p=2 these are the genu…