4 papers · 1 filter
Two combinatorial puzzles arising from the theory of Kohnert polynomials
Theo Koss, Nicholas Mayers, Alex Moon
Motivated by recent work of Hanser and Mayers, we study two combinatorial puzzles arising from the theory of Kohnert polynomials. Such polynomials are defined as generating polynom…
Dimensions of toggleability spaces
Ben Adenbaum, Spencer Daugherty, Nicholas Mayers
We establish a conjecture of Defant, Hopkins, PoznanoviÄ, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root poset…
Ghost Kohnert posets
Kelsey Hanser, Nicholas Mayers
Recently, Pan and Yu showed that Lascoux polynomials can be defined in terms of certain collections of diagrams consisting of unit cells arranged in the first quadrant. Starting fr…
On a combinatorial puzzle arising from the theory of Lascoux polynomials
Kelsey Hanser, Nicholas Mayers
Lascoux polynomials are a class of nonhomogeneous polynomials which form a basis of the full polynomial ring. Recently, Pan and Yu showed that Lascoux polynomials can be defined as…