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- W4294245433 abstract "We show the triviality of representations of the mapping class group of a genus $g$ surface in $GL(n,C), Diff(S^2)$ and $Homeo(T^2)$ when appropriate restrictions on the genus $g$ and the size of $n$ hold. For example, if $S_g$ is a surface of finite type and $phi : MCG(S_g) to GL(n,C)$ is a homomorphism, then $phi$ is trivial provided the genus $g ge 3$ and $n < 2g$. We also show that if $S_g$ is a closed surface with genus $g ge 7$, then every homomorphism $phi: MCG(S_g) to Diff(S^2)$ is trivial and that if $g ge 3$, then every homomorphism $phi: MCG(S_g) to Homeo(T^2)$ is trivial." @default.
- W4294245433 created "2022-09-02" @default.
- W4294245433 creator A5040752339 @default.
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- W4294245433 date "2011-02-22" @default.
- W4294245433 modified "2023-09-25" @default.
- W4294245433 title "Triviality of some representations of $MCG(S_g)$ in $GL(n,C), Diff(S^2)$ and $Homeo(T^2)$" @default.
- W4294245433 doi "https://doi.org/10.48550/arxiv.1102.4584" @default.
- W4294245433 hasPublicationYear "2011" @default.
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