Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative Hodge-to-de Rham degeneration via the method of
  Deligne-Illusie   We use a version of the method of Deligne-Illusie to prove that the
Hodge-to-de Rham, a.k.a. Hochschild-to-cyclic spectral sequence degenerates for
a large class of associative, not necessariyl commutative DG algebras. This
proves, under some assumption, a conjecture by Kontsevich and Soibelman made in
math.RA/0606241. The approach is similar to my earlier paper math.AG/0511665,
but the proof is more straightforward, and the underlying algebraic topology
notions are explicitly described. The paper is independent of math.AG/0511665
and in a sense, supercedes it.

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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: stat