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. 2022;28(3):55.
doi: 10.1007/s00029-022-00771-5. Epub 2022 Apr 1.

Matroid psi classes

Jeshu Dastidar  1 , Dustin Ross  2
Affiliations

Matroid psi classes

Jeshu Dastidar et al. Sel Math New Ser. 2022.

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) Poincaré duality for matroid Chow rings.

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