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math.CO2018
-Schur expansions of Catalan functions
Jonah Blasiak, Jennifer Morse, Anna Pun +1
We make a broad conjecture about the -Schur positivity of Catalan functions, symmetric functions which generalize the (parabolic) Hall-Littlewood polynomials. We resolve the con…
math.CO2018
Catalan functions and -Schur positivity
Jonah Blasiak, Jennifer Morse, Anna Pun +1
We prove that graded -Schur functions are -equivariant Euler characteristics of vector bundles on the flag variety, settling a conjecture of Chen-Haiman. We expose a new mira…