Matroid psi classes

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...

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Detalles Bibliográficos
Autores principales: Dastidar, Jeshu, Ross, Dustin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8973712/
https://www.ncbi.nlm.nih.gov/pubmed/37521241
http://dx.doi.org/10.1007/s00029-022-00771-5
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author Dastidar, Jeshu
Ross, Dustin
author_facet Dastidar, Jeshu
Ross, Dustin
author_sort Dastidar, Jeshu
collection PubMed
description 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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spelling pubmed-89737122022-04-01 Matroid psi classes Dastidar, Jeshu Ross, Dustin Sel. Math. New Ser. Article 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. Springer International Publishing 2022-04-01 2022 /pmc/articles/PMC8973712/ /pubmed/37521241 http://dx.doi.org/10.1007/s00029-022-00771-5 Text en © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Dastidar, Jeshu
Ross, Dustin
Matroid psi classes
title Matroid psi classes
title_full Matroid psi classes
title_fullStr Matroid psi classes
title_full_unstemmed Matroid psi classes
title_short Matroid psi classes
title_sort matroid psi classes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8973712/
https://www.ncbi.nlm.nih.gov/pubmed/37521241
http://dx.doi.org/10.1007/s00029-022-00771-5
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