Tautological classes of matroids

A Berget, C Eur, H Spink, D Tseng - Inventiones mathematicae, 2023 - Springer
We introduce certain torus-equivariant classes on permutohedral varieties which we call
“tautological classes of matroids” as a new geometric framework for studying matroids …

Intersection theory of polymatroids

C Eur, M Larson - International Mathematics Research Notices, 2024 - academic.oup.com
Polymatroids are combinatorial abstractions of subspace arrangements in the same way that
matroids are combinatorial abstractions of hyperplane arrangements. By introducing …

K-classes of delta-matroids and equivariant localization

C Eur, M Larson, H Spink - Transactions of the American Mathematical …, 2025 - ams.org
Delta-matroids are “type B” generalizations of matroids in the same way that maximal
orthogonal Grassmannians are generalizations of Grassmannians. A delta-matroid …

Kapranov degrees

J Brakensiek, C Eur, M Larson, S Li - arXiv preprint arXiv:2308.12285, 2023 - arxiv.org
The moduli space of stable rational curves with marked points has two distinguished families
of maps: the forgetful maps, given by forgetting some of the markings, and the Kapranov …

Rank functions and invariants of delta-matroids

M Larson - arXiv preprint arXiv:2305.01008, 2023 - arxiv.org
In this note, we give a rank function axiomatization for delta-matroids and study the
corresponding rank generating function. We relate an evaluation of the rank generating …

Multimatroids and rational curves with cyclic action

E Clader, C Damiolini, C Eur… - International …, 2024 - academic.oup.com
We study the connection between multimatroids and moduli spaces of rational curves with
cyclic action. Multimatroids are generalizations of matroids and delta-matroids that naturally …

Derived Categories of Permutahedral and Stellahedral Varieties

M Sanchez - arXiv preprint arXiv:2311.04203, 2023 - arxiv.org
We utilize the coherent-constructible correspondence to construct full strongly exceptional
collections of nef line bundles in the derived category of a toric variety through the …

Straightening laws for Chow rings of matroids

M Larson - arXiv preprint arXiv:2402.03444, 2024 - arxiv.org
We give elementary and non-inductive proofs of three fundamental theorems about Chow
rings of matroids: the standard monomial basis, Poincare duality, and the dragon-Hall-Rado …

Lattice Path Delta Matroids

DM Chen, M Sanchez, J Veliz, Z Ying - arXiv preprint arXiv:2311.15441, 2023 - arxiv.org
We initiate the study of a type $ C_n $ generalization of the lattice path matroids defined by
Bonin, de Mier, and Noy. These are delta matroids whose feasible sets are in bijection with …

Cohomology of type real permutohedral varieties

Y Yoon - arXiv preprint arXiv:2501.09496, 2025 - arxiv.org
Type $ A $ and type $ B $ permutohedral varieties are classic examples of mathematics, and
their topological invariants are well known. This naturally leads to the investigation of the …