3 papers
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…
math.AG2024
The Unipotent Tropical Fundamental Group
Kyle Binder, Eric Katz
We define the unipotent tropical fundamental group of a polyhedral complex in as the Tannakian fundamental group of the category of unipotent tropical vector bundles…