Generating big mapping class groups | Vidéo | Carmin.tv

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Generating big mapping class groups

By Federica Fanoni

Appears in collection : Structures on Surfaces / Structures sur des surfaces

The mapping class group of a surface is the group of its homeomorphisms up to homotopy. A natural question to ask is: what is a good set of generators? If the surface is compact (or more generally of finite type) there are multiple satisfactory answers. If the surface is of infinite type, the question is wide open. I will discuss this problem and present a partial (negative) result in this context. Joint work with Sebastian Hensel.

Information about the video

Date of recording 05/05/2022
Date of publication 17/05/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19914703
Cite this video Fanoni, Federica (05/05/2022). Generating big mapping class groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19914703
URL https://dx.doi.org/10.24350/CIRM.V.19914703

Domain(s)

Geometric Topology

Bibliography

FANONI, FEDERICA et HENSEL, SEBASTIAN. A NOTE ON THE PURE MAPPING CLASS GROUP OF AN INFINITE-TYPE SURFACE OF FINITE GENUS. 2021. - https://www.math.lmu.de/~hensel/papers/Multitwistsdontgenerate.pdf

MSC codes

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