Fine curve graphs and surface homeomorphisms | Vidéo | Carmin.tv

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Fine curve graphs and surface homeomorphisms

By Sebastian Hensel

Appears in collection : Big Mapping Class Groups and Diffeomorphism Groups / Gros groupes modulaires et groupes de difféomorphismes

The curve graph is a well-studied and useful tool to study 3-manifolds and mapping class groups of surfaces. The fine curve graph is a recent variant on which the full homeomorphism group of a surface acts in an interesting way. In this talk we discuss some recent results which highlight behaviour not encountered in the 'classical' curve graph. In particular, we will discuss the first entries in a dictionary between properties from surface dynamics and geometric properties of the action (and, while doing so, construct homeomorphisms acting parabolically). This is joint work with Jonathan Bowden, Katie Mann, Emmanuel Militon and Richard Webb.

Information about the video

Date of recording 10/10/2022
Date of publication 14/11/2022
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.19968103
Cite this video Hensel, Sebastian (10/10/2022). Fine curve graphs and surface homeomorphisms. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19968103
URL https://dx.doi.org/10.24350/CIRM.V.19968103

Domain(s)

Bibliography

BOWDEN, Jonathan, HENSEL, Sebastian, MANN, Kathryn, et al. Rotation sets and actions on curves. Advances in Mathematics, 2022, vol. 408, p. 108579. - https://doi.org/10.1016/j.aim.2022.108579

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