Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative Cartier operator and Hodge-to-de Rham degeneration   We introduce a version of the Cartier isomorphism for de Rham cohomology
valid for associative, not necessarily commutative algebras over a field of
positive characteristic. Using this, we imitate the well-known argument of P.
Deligne and L. Iluusie and prove, in some cases, a conjecture of M. Kontsevich
which claims that the Hodge-to-de Rham, a.k.a. Hochschild-to-cyclic spectral
sequence degenerates.

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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn