Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: S^1-Equivariant simplicial algebras and de Rham theory   This is a companion paper our previous submission "\infty-categories
monoidales rigides et caracteres de Chern", in which we give a comparison
between functions on the derived loop space of a smooth scheme of caracteristic
zero, and its algebraic de Rham cohomology. As a consequence we obtain
functorial and multiplicative versions of the HKR decomposition theorem
relating Hochschild homology and Hodge cohomology.

17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci