The reviewed record of science sign in
Pith

arxiv: 2103.08021 · v4 · pith:YXROFSZV · submitted 2021-03-14 · math.CO · math.AG

Tautological classes of matroids

Andrew Berget , Christopher Eur , Hunter Spink , Dennis Tseng This is my paper

Reviewed by Pithpith:YXROFSZVopen to challenge →

classification math.CO math.AG
keywords classesmatroidsestablishingframeworkpermutohedraltautologicaltheoryvarieties
0
0 comments X
read the original abstract

We introduce certain torus-equivariant classes on permutohedral varieties which we call "tautological classes of matroids" as a new geometric framework for studying matroids. Using this framework, we unify and extend many recent developments in matroid theory arising from its interaction with algebraic geometry. We achieve this by establishing a Chow-theoretic description and a log-concavity property for a 4-variable transformation of the Tutte polynomial, and by establishing an exceptional Hirzebruch-Riemann-Roch-type formula for permutohedral varieties that translates between K-theory and Chow theory.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

    math.AG 2026-04 unverdicted novelty 6.0

    The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.