Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex of twistor operators in symplectic spin geometry   For a symplectic manifold admitting a metaplectic structure (a symplectic
analogue of the Riemannian spin structure), we construct a sequence consisting
of differential operators using a symplectic torsion-free affine connection.
All but one of these operators are of first order. The first order ones are
symplectic analogues of the twistor operators known from Riemannian spin
geometry. We prove that under the condition the symplectic Weyl curvature
tensor field of the symplectic connection vanishes, the mentioned sequence
forms a complex. This gives rise to a new complex for the so called Ricci type
symplectic manifolds, which admit a metaplectic structure.

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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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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: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex