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Effectively generating RAAGs in MCGs

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Virtualconference
Authors : Runnels, Ian (Author of the conference)
CIRM (Publisher )

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Abstract : Given a (mostly arbitrary) collection of mapping classes on a surface S, we find an explicit constant N such that their Nth powers generate a right-angled Artin subgroup of the mapping class group MCG(S).

Keywords : right-angled Artin groups; mapping class groups; curve complex

MSC Codes :

Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/effective_raags_beamer.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/06/2020
    Conference Date : 20/05/2020
    Subseries : Research talks
    arXiv category : General Topology ; Group Theory
    Mathematical Area(s) : Geometry ; Topology
    Format : MP4 (.mp4) - HD
    Video Time : 00:31:30
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-05-20_Runnels.mp4

Information on the Event

Event Title : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes
Event Organizers : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen
Dates : 01/06/2020 - 05/06/2020
Event Year : 2020
Event URL : https://conferences.cirm-math.fr/virtual...

Citation Data

DOI : 10.24350/CIRM.V.19636703
Cite this video as: Runnels, Ian (2020). Effectively generating RAAGs in MCGs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19636703
URI : http://dx.doi.org/10.24350/CIRM.V.19636703

See Also

Bibliography

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  • BEHRSTOCK, Jason A. Asymptotic geometry of the mapping class group and Teichmüller space. Geometry & Topology, 2006, vol. 10, no 3, p. 1523-1578. - https://arxiv.org/abs/math/0502367

  • BOWDITCH, Brian. Uniform hyperbolicity of the curve graphs. Pacific Journal of Mathematics, 2014, vol. 269, no 2, p. 269-280.. - http://dx.doi.org/10.2140/pjm.2014.269.269

  • CLAY, Matt, RAFI, Kasra, et SCHLEIMER, Saul. Uniform hyperbolicity of the curve graph via surgery sequences. Algebraic & Geometric Topology, 2015, vol. 14, no 6, p. 3325-3344. - https://arxiv.org/abs/1302.5519

  • CLAY, Matt, LEININGER, Christopher J., et MANGAHAS, Johanna. The geometry of right angled Artin subgroups of mapping class groups. arXiv preprint arXiv:1007.1129, 2010. - https://arxiv.org/abs/1007.1129

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  • KOBERDA, Thomas. Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups. Geometric and Functional Analysis, 2012, vol. 22, no 6, p. 1541-1590. - https://doi.org/10.1007/s00039-012-0198-zISTEX

  • MASUR, Howard A. et MINSKY, Yair N. Geometry of the complex of curves I: Hyperbolicity. arXiv preprint math/9804098, 1998. - https://doi.org/10.1007/s002220050343

  • MASUR, Howard A. et MINSKY, Yair N. Geometry of the complex of curves II: Hierarchical structure. arXiv preprint math/9807150, 1998. - https://doi.org/10.1007/PL00001643



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