3 citations · 5 across the 7 of their papers we have counts for
5 papers · 1 filter
Ext operators for wreath Macdonald polynomials
Seamus Albion Ferlinc, Joshua Jeishing Wen
We introduce a wreath Macdonald polynomial analogue of the Carlsson--Nekrasov--Okounkov vertex operator. As an application, we prove a modular -Nekrasov--Okounkov formula fo…
Tesler identities for wreath Macdonald polynomials
Marino Romero, Joshua Jeishing Wen
We give an explicit formula for an operator that sends a wreath Macdonald polynomial to the delta function at a character associated to its partition. This allows us to prove many…
Shuffle approach to wreath Pieri operators
Joshua Jeishing Wen
We describe a way to study and compute Pieri rules for wreath Macdonald polynomials using the quantum toroidal algebra. The Macdonald pairing can be naturally generalized to the wr…
Wreath Macdonald operators
Daniel Orr, Mark Shimozono, Joshua Jeishing Wen
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald -polynomials; the eigenvalues are written in terms o…
Wreath Macdonald polynomials as eigenstates
Joshua Jeishing Wen
We show that the wreath Macdonald polynomials for , when naturally viewed as elements in the vertex representation of the quantum toroidal algebra…