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Mapping class group and right-angled Artin group actions on the circle (GGD/GEAR Seminar)
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Thomas Koberda (University of Virginia)
Abstract: I will discuss virtual mapping class group actions on compact one-manifolds. The main result will be that there exists no faithful C^2 action of a finite index subgroup of the mapping class group on the circle, which generalizes results of Farb-Franks and establishes a higher rank phenomenon for the mapping class group, mirroring a result of Ghys and Burger-Monod. This talk will represent joint work with H. Baik and S. Kim.
Abstract: I will discuss virtual mapping class group actions on compact one-manifolds. The main result will be that there exists no faithful C^2 action of a finite index subgroup of the mapping class group on the circle, which generalizes results of Farb-Franks and establishes a higher rank phenomenon for the mapping class group, mirroring a result of Ghys and Burger-Monod. This talk will represent joint work with H. Baik and S. Kim.