Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraining mapping class group homomorphisms using finite subgroups   We classify homomorphisms from mapping class groups by using finite
subgroups. First, we give a new proof of a result of Aramayona--Souto that
homomorphisms between mapping class groups of closed surfaces are trivial for a
range of genera. Second, we show that only finitely many mapping class groups
of closed surfaces have non-trivial homomorphisms into
$\text{Homeo}(\mathbb{S}^n)$ for any $n$. We also prove that every homomorphism
from $\text{Mod}(S_g)$ to $\text{Homeo}(\mathbb{S}^2)$ or
$\text{Homeo}(\mathbb{S}^3)$ is trivial if $g\ge 3$, extending a result of
Franks--Handel.

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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph