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  Coxeter groups and meridional rank of links

Baader, S., Blair, R., & Kjuchukova, A. (2021). Coxeter groups and meridional rank of links. Mathematische Annalen, 379(3-4), 1533-1551. doi:10.1007/s00208-020-02124-z.

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Baader-Blair-Kjuchukova_Coxeter groups and meridional rank of links_2021.pdf (Verlagsversion), 470KB
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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

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https://doi.org/10.1007/s00208-020-02124-z (Verlagsversion)
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https://doi.org/10.48550/arXiv.1907.02982 (Preprint)
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 Urheber:
Baader, Sebastian1, Autor           
Blair, Ryan, Autor
Kjuchukova, Alexandra1, Autor           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Inhalt

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Schlagwörter: Mathematics, Geometric Topology
 Zusammenfassung: We prove the meridional rank conjecture for twisted links and arborescent
links associated to bipartite trees with even weights. These links are
substantial generalizations of pretzels and two-bridge links, respectively.
Lower bounds on meridional rank are obtained via Coxeter quotients of the
groups of link complements. Matching upper bounds on bridge number are found
using the Wirtinger numbers of link diagrams, a combinatorial tool developed by
the authors.

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Sprache(n): eng - English
 Datum: 2021
 Publikationsstatus: Erschienen
 Seiten: 19
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: arXiv: 1907.02982
DOI: 10.1007/s00208-020-02124-z
 Art des Abschluß: -

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Titel: Mathematische Annalen
  Kurztitel : Math. Ann.
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Springer
Seiten: - Band / Heft: 379 (3-4) Artikelnummer: - Start- / Endseite: 1533 - 1551 Identifikator: -