Matroid psi classes
Combinatorics
2022-10-26 v3 Algebraic Geometry
Abstract
Motivated by the intersection theory of moduli spaces of curves, we introduce psi classes in matroid Chow rings and prove a number of properties that naturally generalize properties of psi classes in Chow rings of Losev-Manin spaces. We use these properties of matroid psi classes to give new proofs of (1) a Chow-theoretic interpretation for the coefficients of the reduced characteristic polynomials of matroids, (2) explicit formulas for the volume polynomials of matroids, and (3) Poincare duality for matroid Chow rings.
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Cite
@article{arxiv.2102.08425,
title = {Matroid psi classes},
author = {Jeshu Dastidar and Dustin Ross},
journal= {arXiv preprint arXiv:2102.08425},
year = {2022}
}
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