Fixed points of parking functions

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Symmetric groups (20B30)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Rational parking functions and Catalan numbers
Combinatorics of the zeta map on rational Dyck paths
A combinatorial approach to the \(q,t\)-symmetry relation in Macdonald polynomials
Hyperplane arrangements and diagonal harmonics
Refined knot invariants and Hilbert schemes
Sweep maps: a continuous family of sorting algorithms
Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras
A bijection between dominant Shi regions and core partitions
From Anderson to zeta
Results and conjectures on simultaneous core partitions
The Kazhdan-Lusztig cells in certain affine Weyl groups
The computation of fixed points and applications
A simple bijection for the regions of the Shi arrangement of hyperplanes
Conjectures on the quotient ring by diagonal invariants
On free deformations of the braid arrangement
Double affine Hecke algebras and difference Fourier transforms.
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
The indices of permutations and the derivation therefrom of functions of a single associated with the permutations of any assemblage of objects.
\(t,q\)-Catalan numbers and the Hilbert scheme.
Deformations of Coxeter hyperplane arrangements
Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
Compactified Jacobians and \(q,t\)-Catalan numbers. I.
A combinatorial formula for the character of the diagonal coinvariants
Conjectured combinatorial models for the Hilbert series of generalized diagonal harmonic modules
Conjectured statistics for the higher \(q,t\)-Catalan sequences
A proof of the \(q,t\)-Catalan positivity conjecture
Ad-nilpotent ideals of a Borel subalgebra. II.
Conjectured statistics for the \(q,t\)-Catalan numbers.
A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
Strange expectations and simultaneous cores
Toric braids and \((m,n)\)-parking functions
Interlaced rectangular parking functions
Cyclic symmetry of the scaled simplex
Group actions on Stanley-Reisner rings and invariants of permutation groups
Rational Dyck paths in the non relatively prime case
Counting Shi regions with a fixed separating wall
Compactified Jacobians and \(q,t\)-Catalan numbers. II
Bijections for the Shi and Ish arrangements
Affine Springer fibers of type \(A\) and combinatorics of diagonal coinvariants
A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions
Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
Affine permutations and rational slope parking functions
The Shi arrangement and the Ish arrangement
Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
B-Stable Ideals in the Nilradical of a Borel Subalgebra
Major Index and Inversion Number of Permutations
Compositional (km,kn)-Shuffle Conjectures
A proof of the shuffle conjecture
Sign Types Corresponding to an Affine Weyl Group
Hyperplane arrangements, interval orders, and trees.
On the Netto Inversion Number of a Sequence
An Occupancy Discipline and Applications
Sweeping up zeta

This page was built for publication: Fixed points of parking functions