Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a triangulated category which behaves like a cluster category of
  infinite Dynkin type, and the relation to triangulations of the infinity-gon   This paper investigates a certain 2-Calabi-Yau triangulated category D whose
Auslander-Reiten quiver is ZA_{\infty}. We show that the cluster tilting
subcategories of D form a so-called cluster structure, and we classify these
subcategories in terms of what one may call `triangulations of the
infinity-gon'. This is reminiscent of the cluster category C of type A_n which
is a 2-Calabi-Yau triangulated category whose Auslander-Reiten quiver is a
quotient of ZA_n. The cluster tilting subcategories of C form a cluster
structure and they are classified in terms of triangulations of the (n+3)-gon.
The category D behaves like a `cluster category of type A_{\infty}'.

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The categories of this paper are: ao-sci
13
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: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg