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math.CO2026
Augmented singular cohomology, uniform matroids, and real-rootedness
Kyle Binder, Lorenzo Vecchi
We study the singular cohomology rings of toric varieties associated with several fans arising from uniform matroids. These rings generalize the Chow and augmented Chow rings of ma…
math.CO2026
The singular cohomology ring of a uniform matroid: combinatorics and Lefschetz properties
Kyle Binder
The singular cohomology ring of a matroid is an algebraic invariant which generalizes the Chow ring of a matroid. We study combinatorial and Lefschetz properties of the singular co…
math.CO2024
The Singular Cohomology Ring of a Matroid
Kyle Binder
We introduce the singular cohomology ring of a matroid which extends the Chow ring of a matroid. This is defined as the singular cohomology ring of a certain quasi-projective toric…