Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric construction of spinors in orthogonal modular categories   A geometric construction of Z_2-graded orthogonal modular categories is
given. Their 0-graded parts coincide with categories previously obtained by
Blanchet and the author from the category of tangles modulo the Kauffman skein
relations. Quantum dimensions and twist coefficients for 1-graded simple
objects (spinors) are calculated. We show that our even orthogonal modular
categories admit cohomological refinements and the odd orthogonal ones lead to
spin refinements. The relation with the quantum group approach is discussed.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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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: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom