1 citations · 3 across the 4 of their papers we have counts for
5 papers
Piecewise-linear promotion and RSK in rectangles and moon polyominoes
Joseph Johnson, Ricky Ini Liu
We study piecewise-linear and birational lifts of Schützenberger promotion, evacuation, and the RSK correspondence defined in terms of toggles. Using this perspective, we prove tha…
Toric Ideals of Characteristic Imsets via Quasi-Independence Gluing
Benjamin Hollering, Joseph Johnson, Irem Portakal +1
Characteristic imsets are 0-1 vectors which correspond to Markov equivalence classes of directed acyclic graphs. The study of their convex hull, named the characteristic imset poly…
Birational Rowmotion and the Octahedron Recurrence
Joseph Johnson, Ricky Ini Liu
We use the octahedron recurrence to give a simplified statement and proof of a formula for iterated birational rowmotion on a product of two chains, first described by Musiker and…
Determinantal Formulas for SEM Expansions of Schubert Polynomials
Hassan Hatam, Joseph Johnson, Ricky Ini Liu +1
We show that for any permutation that avoids a certain set of 13 patterns of lengths 5 and 6, the Schubert polynomial can be expressed as the determinant of a m…
An Equivariant K-Theory Functor from Spaces to lambda-rings
Joseph C. Johnson
A functor on compact Hausdorf spaces is constructed as the sum of certain equivariant K-theory groups. It is shown that the functor takes values in lambda-rings and satisfies a Tho…