{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T16:56:31Z","timestamp":1782233791633,"version":"3.54.5"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T00:00:00Z","timestamp":1758585600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T00:00:00Z","timestamp":1758585600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/100021828","name":"German Academic Exchange Service","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100021828","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100021828","name":"German Academic Exchange Service","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100021828","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2026,7]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We use the equivariant cohomology ring of the permutohedral variety to study matroids and their invariants. Investigating the pushforward of matroid Chern classes defined by Berget, Eur, Spink and Tseng to the product space\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${{\\mathbb {P}}}^n \\times {{\\mathbb {P}}}^n$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:msup>\n                              <mml:mrow>\n                                <mml:mi>P<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mi>n<\/mml:mi>\n                            <\/mml:msup>\n                            <mml:mo>\u00d7<\/mml:mo>\n                            <mml:msup>\n                              <mml:mrow>\n                                <mml:mi>P<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mi>n<\/mml:mi>\n                            <\/mml:msup>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    , we establish an equivariant generalization of the Tutte polynomial of a matroid. We discuss how this polynomial encodes properties of the matroid by looking at special evaluations. We further introduce an equivariant generalization of the reduced characteristic polynomial of a matroid.\n                  <\/jats:p>","DOI":"10.1007\/s00454-025-00773-y","type":"journal-article","created":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T13:51:07Z","timestamp":1758635467000},"page":"253-297","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Equivariant Tutte Polynomial"],"prefix":"10.1007","volume":"76","author":[{"given":"Mario","family":"Bauer","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mat\u011bj","family":"Dole\u017e\u00e1lek","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Magdal\u00e9na","family":"Mi\u0161inov\u00e1","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-0622-3843","authenticated-orcid":false,"given":"Semen","family":"S\u0142obodianiuk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Julian","family":"Weigert","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,9,23]]},"reference":[{"key":"773_CR1","volume-title":"Equivariant Cohomology in Algebraic Geometry. 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