Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological stability for the ribbon Higman--Thompson groups   We generalize the notion of asymptotic mapping class groups and allow them to
surject to the Higman--Thompson groups, answering a question of Aramayona and
Vlamis in the case of the Higman--Thompson groups. When the underlying surface
is a disk, these new asymptotic mapping class groups can be identified with the
ribbon and oriented ribbon Higman--Thompson groups. We use this model to prove
that the ribbon Higman--Thompson groups satisfy homological stability,
providing the first homological stability result for dense subgroups of big
mapping class groups. Our result can also be treated as an extension of
Szymik--Wahl's work on homological stability for the Higman--Thompson groups to
the surface setting.

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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas