Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduction Techniques to Identify Connected Components of Mutation
  Quivers   Important objects of study in $\tau$-tilting theory include the
$\tau$-tilting pairs over an algebra on the form $kQ/I$, with $kQ$ being a path
algebra and $I$ an admissible ideal. In this paper, we study aspects of the
combinatorics of mutation quivers of support $\tau$-tilting pairs, simply
called mutation quivers. In particular, we are interested in identifying
connected components of the underlying graphs of such quivers. We give a class
of algebras with two simple modules such that every algebra in the class has at
most two connected components in its mutation quiver, generalizing a result by
Demonet, Iyama and Jasso (2017). We also give examples of algebras with
strictly more than two components in their mutation quivers.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc