Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering diagrams, Hall algebras and stability conditions   To any quiver with relations we associate a consistent scattering diagram
taking values in the motivic Hall algebra of its category of representations.
We show that the chamber structure of this scattering diagram coincides with
the natural chamber structure in an open subset of the space of stability
conditions on the associated triangulated category. In the three-dimensional
Calabi-Yau situation, when the relations arise from a potential, we can apply
an integration map to give a consistent scattering diagram taking values in a
tropical vertex group.

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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: adap-org