Equivariant Tutte Polynomial.
Saved in:
| Title: | Equivariant Tutte Polynomial. |
|---|---|
| Authors: | Bauer, Mario1 (AUTHOR) mario.bauer@uni-konstanz.de, Doležálek, Matěj1 (AUTHOR) matej.dolezalek@uni-konstanz.de, Mišinová, Magdaléna1 (AUTHOR) magdalena.misinova@gmail.com, Słobodianiuk, Semen2 (AUTHOR) s38sslob@uni-bonn.de, Weigert, Julian3,4 (AUTHOR) julian.weigert@mis.mpg.de |
| Source: | Discrete & Computational Geometry. Jul2026, Vol. 76 Issue 1, p253-297. 45p. |
| Subjects: | Matroids, Polynomials, Algebraic varieties, Cohomology theory, Algebraic combinatorics, Chern classes |
| Abstract: | 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 P n × P 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Discrete & Computational Geometry is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 194776513 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Equivariant Tutte Polynomial. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bauer%2C+Mario%22">Bauer, Mario</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mario.bauer@uni-konstanz.de</i><br /><searchLink fieldCode="AR" term="%22Doležálek%2C+Matěj%22">Doležálek, Matěj</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> matej.dolezalek@uni-konstanz.de</i><br /><searchLink fieldCode="AR" term="%22Mišinová%2C+Magdaléna%22">Mišinová, Magdaléna</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> magdalena.misinova@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Słobodianiuk%2C+Semen%22">Słobodianiuk, Semen</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> s38sslob@uni-bonn.de</i><br /><searchLink fieldCode="AR" term="%22Weigert%2C+Julian%22">Weigert, Julian</searchLink><relatesTo>3,4</relatesTo> (AUTHOR)<i> julian.weigert@mis.mpg.de</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+%26+Computational+Geometry%22">Discrete & Computational Geometry</searchLink>. Jul2026, Vol. 76 Issue 1, p253-297. 45p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Matroids%22">Matroids</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+varieties%22">Algebraic varieties</searchLink><br /><searchLink fieldCode="DE" term="%22Cohomology+theory%22">Cohomology theory</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+combinatorics%22">Algebraic combinatorics</searchLink><br /><searchLink fieldCode="DE" term="%22Chern+classes%22">Chern classes</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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 P n × P 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete & Computational Geometry is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194776513 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00454-025-00773-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 45 StartPage: 253 Subjects: – SubjectFull: Matroids Type: general – SubjectFull: Polynomials Type: general – SubjectFull: Algebraic varieties Type: general – SubjectFull: Cohomology theory Type: general – SubjectFull: Algebraic combinatorics Type: general – SubjectFull: Chern classes Type: general Titles: – TitleFull: Equivariant Tutte Polynomial. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bauer, Mario – PersonEntity: Name: NameFull: Doležálek, Matěj – PersonEntity: Name: NameFull: Mišinová, Magdaléna – PersonEntity: Name: NameFull: Słobodianiuk, Semen – PersonEntity: Name: NameFull: Weigert, Julian IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 01795376 Numbering: – Type: volume Value: 76 – Type: issue Value: 1 Titles: – TitleFull: Discrete & Computational Geometry Type: main |
| ResultId | 1 |
