Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localized calculus for the Hecke category   We construct a functor from the Hecke category to a groupoid built from the
underlying Coxeter group. This fixes a gap in an earlier work of the authors.
This functor provides an abstract realisation the localization of the Hecke
category at the field of fractions. Knowing explicit formulas for the
localization is a key technical tool in software for computations with Soergel
bimodules.

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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: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys