3 citations · 11 across the 10 of their papers we have counts for
11 papers
Triangular Diagonal Harmonics Conjectures
François Bergeron
The purpose of this paper is mostly to present conjectures that extend, to the ``triangular partition'' context (partitions ``under any line'' in the terminology of Blaziak-Haiman-…
The super nabla operator
François Bergeron, Jim Haglund, Alessandro Iraci +1
We consider here a new operator, called ``super nabla'', which is shown to be generic among operators for which the modified Macdonald polynomials are joint eigenfunctions. All pre…
Combinatorics of Triangular Partitions
François Bergeron, Mikhail Mazin
The aim of this paper is to develop the combinatorics of constructions associated to what we call \emph{triangular partitions}. As introduced in arXiv:2102.07931, these are the par…
Macdonald polynomials and operators and Catalan Combinatorics
François Bergeron
Our main aim with these notes is to introduce the combinatorial and symmetric function tools that relate to the description of the Poincare polynomial of the triply graded Khovanov…
Symmetric Functions and Rectangular Catalan Combinatorics
François Bergeron
Symmetric functions provide one of the most efficient tools for combinatorial enumeration, in the context of objects that may be acted upon by permutations. Only assuming a basic k…
A Survey of -Whittaker polynomials
F. Bergeron
Exploiting the fact that the -Whittaker polynomials arise as a specialization of the (modified) Macdonald polynomials, we derive some of their basic properties, and explore inte…