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Topology of groups of automorphisms of surfaces, and high dimensional analogues.

2 votes
0 answers
137 views

Image of the pure braid group under the Artin presentation into the automorphism group of th...

As I know, it is unknown that the image of the mapping class group of the surface and its Johnson filtration under the higher Johnson homomorphisms. There are a relationship between the mapping class …
4 votes
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208 views

Image of the mapping class group of surfaces into automorphism group?

Let $S_{g,p}^n$ be a compact oriented surface of genus $g$ with $p$ punctures and $n$ boundary components, and $\operatorname{Mod}(S)$ and $\operatorname{PMod}(S)$ be the mapping class group and the p …