Pith. sign in

REVIEW

Tautological classes of matroids

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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

Andrew Berget , Christopher Eur , Hunter Spink , Dennis Tseng This is my paper · ORCID
classification math.COmath.AG
keywords classesmatroidsestablishingframeworkpermutohedraltautologicaltheoryvarieties
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
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.

Discussion (0). Continue with ORCID to comment.

Pith tools