Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic irrational stable commutator length in finitely presented
  groups   We provide the first example of a finitely presented (in fact, type
$F_\infty$) group with elements whose stable commutator length is algebraic and
irrational, answering a question of Calegari. Our example is the lift to the
real line of the \emph{golden ratio Thompson group} $T_\tau$: the circle
analogue of the Cleary's golden ratio Thompson group $F_\tau$ which acts on the
interval.

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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol