Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability conditions and Teichm\"uller space   We consider a 3-Calabi-Yau triangulated category associated to an ideal
triangulation of a marked bordered surface. Using the theory of harmonic maps
between Riemann surfaces, we construct a natural map from a component of the
space of Bridgeland stability conditions on this category to the enhanced
Teichm\"uller space of the surface. We describe a relationship between the
central charges of objects in the category and shear coordinates on the
Teichm\"uller space.

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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: physics