Auteurs : ... (Auteur de la conférence)
... (Editeur )
Résumé :
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).
Mots-Clés : right-angled Artin groups; mapping class groups; curve complex
Codes MSC :
Ressources complémentaires :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/effective_raags_beamer.pdf
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Informations sur la Rencontre
Nom de la Rencontre : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes Dates : 01/06/2020 - 05/06/2020
Année de la rencontre : 2020
URL de la Rencontre : https://conferences.cirm-math.fr/virtual...
DOI : 10.24350/CIRM.V.19636703
Citer cette vidéo:
(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
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Voir Aussi
Bibliographie
- AOUGAB, Tarik. Uniform hyperbolicity of the graphs of curves. Geometry & Topology, 2013, vol. 17, no 5, p. 2855-2875. - https://arxiv.org/abs/1212.3160
- 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
- HENSEL, Sebastian, PRZYTYCKI, Piotr, et WEBB, Richard CH. 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs. J. Eur. Math. Soc.(JEMS), 2015, vol. 17, no 4, p. 755-762. - http://dx.doi.org/10.4171/JEMS/517
- IVANOV, Nikolai V. Subgroups of Teichmuller modular groups. American Mathematical Soc., 1992. - https://doi.org/10.1007/BF01078033
- 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