Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hochschild-cyclic approach to additive higher Chow cycles   Over a field of characteristic zero, we introduce two motivic operations on
additive higher Chow cycles: analogues of the Connes boundary $B$ operator and
the shuffle product on Hochschild complexes. The former allows us to apply the
formalism of mixed complexes to additive Chow complexes building a bridge
between additive higher Chow theory and additive $K$-theory. The latter induces
a wedge product on additive Chow groups for which we show that the Connes
operator is a graded derivation for the wedge product using a variation of a
Totaro's cycle. Hence, the additive higher Chow groups with the wedge product
and the Connes operator form a commutative differential graded algebra. On
zero-cycles, they induce the wedge product and the exterior derivation on the
absolute K\"ahler differentials, answering a question of S. Bloch and H.
Esnault.

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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: econ