3 citations · 6 across the 11 of their papers we have counts for
11 papers
Grove polynomials and -theoretic quasisymmetry
Philippe Nadeau, Hunter Spink, Vasu Tewari
We define the grove polynomials, a set-valued extension of forest polynomials. We show that they are -theoretically dual to the quasisymmetric Schubert cells which pave the quas…
Bilateral parking procedures
Philippe Nadeau
We introduce the class of bilateral parking procedures on the integer line. While cars try to park in the nearest available spot to their right in the classical case, we consider m…
The quasisymmetric flag variety: a toric complex on noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set…
Equivariant quasisymmetry and noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We introduce a definition of ``equivariant quasisymmetry'' for polynomials in two sets of variables. Using this definition we define quasisymmetric generalizations of the theory of…
The geometry of quasisymmetric coinvariants
Philippe Nadeau, Hunter Spink, Vasu Tewari
We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials and divided difference…
Schubert polynomial expansions revisited
Philippe Nadeau, Hunter Spink, Vasu Tewari
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutio…
Quasisymmetric divided differences
Philippe Nadeau, Hunter Spink, Vasu Tewari
We develop a quasisymmetric analogue of the combinatorial theory of Schubert polynomials and the associated divided difference operators. Our counterparts are "forest polynomials",…
A Standard Rigid Transformation Notation Convention for Robotics Research
Philippe Nadeau
Notation conventions for rigid transformations are as diverse as they are fundamental to the field of robotics. A well-defined convention that is practical, consistent and unambigu…
Smirnov words and the Delta Conjectures
Alessandro Iraci, Philippe Nadeau, Anna Vanden Wyngaerd
We provide a combinatorial interpretation of the symmetric function in terms of segmented Smirnov words. The motivation for this…
Tamari intervals and blossoming trees
Wenjie Fang, Éric Fusy, Philippe Nadeau
We introduce a simple bijection between Tamari intervals and the blossoming trees (Poulalhon and Schaeffer, 2006) encoding planar triangulations, using a new meandering representat…
Fully Packed Loop configurations in a Triangle and Littlewood-Richardson coefficients
Philippe Nadeau
In this work we continue our study of Fully Packed Loop (FPL) configurations in a triangle. These are certain subgraphs on a triangular subset of the square lattice, which first ar…