English
Spin mapping class groups and curve graphs
Virtualconference
Auteurs : Hamenstädt, Ursula (Auteur de la Conférence)
CIRM (Editeur )
20F28 - Automorphism groups of groups, See also {20E36}
20F34 - Fundamental groups and their automorphisms
20F65 - Geometric group theory
Ressources complémentaires :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cirm20.pdf
CIRM (Editeur )
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Résumé :
A spin structure on a closed surface $S$ of genus $g \geq 2$ is a covering of the unit tangent bundle of $S$ witch restricts to a standard covering of the fiber. Such a spin structure has a parity, even or add. The spin mapping class is the stabilizer of such a spin structure in the mapping class group of $S$. We use a subgraph of the curve graph to construct an explicit generating set of the spin mapping class group consisting of Dehn twists about a system of $2g-1$ simple closed curves.
Keywords : mapping class group; spin structures; generators
Codes MSC : Keywords : mapping class group; spin structures; generators
20F28 - Automorphism groups of groups, See also {20E36}
20F34 - Fundamental groups and their automorphisms
20F65 - Geometric group theory
Ressources complémentaires :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cirm20.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/06/2020 Date de captation : 21/05/2020 Sous collection : Research talks arXiv category : Geometric Topology Domaine : Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:31:39 Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-21_Hamenstadt.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesOrganisateurs de la rencontre : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Année de la rencontre : 2020 URL Congrès : https://conferences.cirm-math.fr/virtual...
Données de citation
DOI : 10.24350/CIRM.V.19636003Citer cette vidéo: Hamenstädt, Ursula (2020). Spin mapping class groups and curve graphs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19636003 URI : http://dx.doi.org/10.24350/CIRM.V.19636003 |
Voir aussi
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Auteur de la Conférence Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Auteur de la Conférence Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Auteur de la Conférence Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Auteur de la Conférence Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Auteur de la Conférence Runnels, Ian.
- [Virtualconference] Parabolic subgroups of infinite type Artin groups / Auteur de la Conférence Morris-Wright, Rose.
- [Virtualconference] Quasi-actions and almost normal subgroups / Auteur de la Conférence Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Auteur de la Conférence Lonjou, Anne.
- [Virtualconference] Right-angled Coxeter groups commensurable to right-angled Artin groups / Auteur de la Conférence Levcovitz, Ivan.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Auteur de la Conférence Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Auteur de la Conférence Hoda, Nima.
- [Virtualconference] Spaces of cubulations / Auteur de la Conférence Fioravanti, Elia.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Auteur de la Conférence Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Auteur de la Conférence Balasubramanya, Sahana.
Bibliographie
- HAMENSTÄDT, Ursula. Generating the spin mapping class group by Dehn twists. arXiv preprint arXiv:2002.08213, 2020. - https://arxiv.org/abs/2002.08213
- CALDERON, Aaron et SALTER, Nick. Higher spin mapping class groups and strata of Abelian differentials over Teichm {\" u} ller space. arXiv preprint arXiv:1906.03515, 2019. - https://arxiv.org/abs/1906.03515
