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math.CO2025
Filtrations of Tope Spaces of Oriented Matroids
Kris Shaw, Chi Ho Yuen
We compare three filtrations of the tope space of an oriented matroid. The first is the dual Varchenko-Gelfand degree filtration, the second filtration is from Kalinin's spectral s…
math.CO2024
The omega invariant of a matroid
Alex Fink, Kris Shaw, David E Speyer
The third author introduced the -polynomial of a matroid, a covaluative matroid statistic which is unchanged under series and parallel extension. The -polynomial of…
math.CO2023★ 1 cited
Chern Classes of Tropical Manifolds
Lucía López de Medrano, Felipe Rincón, Kris Shaw
We extend the definitions of Chern-Schwartz-MacPherson (CSM) cycles of matroids to tropical manifolds. To do this, we provide an alternate description of CSM cycles of matroids whi…