G. Seelinger

collaborators

3 papers

math.CO2021

A proof of the Extended Delta Conjecture

Jonah Blasiak, Mark Haiman, Jennifer Morse +2

We prove the Extended Delta Conjecture of Haglund, Remmel, and Wilson, a combinatorial formula for $Δ_{h_{l}} Δ_{e_{k}}^{'} e_{n}$ , where $Δ_{e_{k}}^{'}$ and $Δ_{h_{l}}$ are Macdonald eigenoper…

math.CO2021

A Shuffle Theorem for Paths Under Any Line

Jonah Blasiak, Mark Haiman, Jennifer Morse +2

We generalize the shuffle theorem and its $(k m, k n)$ version, as conjectured by Haglund et al. and Bergeron et al., and proven by Carlsson and Mellit, and Mellit, respectively. In o…

math.CO2020

$K$ -theoretic Catalan functions

Jonah Blasiak, Jennifer Morse, George H. Seelinger

We prove that the $K$ - $k$ -Schur functions are part of a family of inhomogenous symmetric functions whose top homogeneous components are Catalan functions, the Euler characteristics…

A proof of the Extended Delta Conjecture

A Shuffle Theorem for Paths Under Any Line

K-theoretic Catalan functions

$K$ -theoretic Catalan functions