Français
Spin mapping class groups and curve graphs
Virtualconference
Authors : Hamenstädt, Ursula (Author of the conference)
CIRM (Publisher )
20F28 - Automorphism groups of groups, See also {20E36}
20F34 - Fundamental groups and their automorphisms
20F65 - Geometric group theory
Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cirm20.pdf
CIRM (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : 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
Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cirm20.pdf
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 21/05/2020 Subseries : Research talks arXiv category : Geometric Topology Mathematical Area(s) : Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:31:39 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-21_Hamenstadt.mp4 
|
Information on the Event
Event Title : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesEvent 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.19636003Cite this video as: 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 |
See Also
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Author of the conference Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Author of the conference Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Author of the conference Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Author of the conference Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Author of the conference Runnels, Ian.
- [Virtualconference] Parabolic subgroups of infinite type Artin groups / Author of the conference Morris-Wright, Rose.
- [Virtualconference] Quasi-actions and almost normal subgroups / Author of the conference Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Author of the conference Lonjou, Anne.
- [Virtualconference] Right-angled Coxeter groups commensurable to right-angled Artin groups / Author of the conference Levcovitz, Ivan.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Author of the conference Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Author of the conference Hoda, Nima.
- [Virtualconference] Spaces of cubulations / Author of the conference Fioravanti, Elia.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Author of the conference Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Author of the conference Balasubramanya, Sahana.
Bibliography
- 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
