| dc.contributor.author | Eur, C | en_US |
| dc.contributor.author | Fink, A | en_US |
| dc.contributor.author | Larson, M | en_US |
| dc.contributor.author | Spink, H | en_US |
| dc.date.accessioned | 2024-02-21T08:40:35Z | |
| dc.date.available | 2024-02-15 | en_US |
| dc.identifier.issn | 0024-6115 | en_US |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/94759 | |
| dc.description.abstract | We establish a connection between the algebraic geometry of the type B permutohedral toric variety and the combinatorics of delta-matroids. Using this connection, we compute the volume and lattice point counts of type B generalized permutohedra. Applying tropical Hodge theory to a new framework of "tautological classes of delta-matroids," modeled after certain vector bundles associated to realizable delta-matroids, we establish the log-concavity of a Tutte-like invariant for a broad family of delta-matroids that includes all realizable delta-matroids. Our results include new log-concavity statements for all (ordinary) matroids as special cases. | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Proceedings of the London Mathematical Society | en_US |
| dc.rights | This is the peer reviewed version of the following article: Eur, C., Fink, A., Larson, M. and Spink, H. (2024), Signed permutohedra, delta-matroids, and beyond. Proc. London Math. Soc., 128: e12592. https://doi.org/10.1112/plms.12592, which has been published in final form at doi.org/10.1112/plms.12592. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. | |
| dc.title | Signed permutohedra, delta-matroids, and beyond | en_US |
| dc.type | Article | |
| dc.identifier.doi | 10.1112/plms.12592 | en_US |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| pubs.publisher-url | https://londmathsoc.onlinelibrary.wiley.com/journal/1460244x | en_US |
| dcterms.dateAccepted | 2024-02-15 | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
| qmul.funder | Extensions of matroid Hodge theory::Engineering and Physical Sciences Research Council | en_US |
