Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

Collection Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

Organizer(s) Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen

Date(s) 01/06/2020 - 05/06/2020

linked URL https://conferences.cirm-math.fr/virtualconference-2159.html

00:00:00 / 00:00:00

8 15

Spin mapping class groups and curve graphs

By Ursula Hamenstädt

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.

Information about the video

Date of recording 21/05/2020
Date of publication 01/06/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19636003
Cite this video Hamenstädt, Ursula (21/05/2020). Spin mapping class groups and curve graphs. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19636003
URL https://dx.doi.org/10.24350/CIRM.V.19636003

Domain(s)

Geometric Topology

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

MSC codes

Document(s)

https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cirm20.pdf

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