Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cyclic Formality conjecture   We conjecture an explicit formula for a cyclic analog of the Formality
$L_{\infty}$-morphism [K]. We prove that its first Taylor component, the cyclic
Hochschild-Kostant-Rosenberg map, is in fact a morphism (and a
quasiisomorphism) of the complexes. To prove it we construct a cohomological
version of the Connes-Tsygan bicomplex in cyclic homology. As an application of
the cyclic Formality conjecture, we obtain an explicit formula for cyclically
invariant deformation quantization.We show that (a more precise version of) the
Connes-Flato-Sternheimer conjecture [CFS] on the existence of closed
star-products on a symplectic manifold also follows from our conjecture.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org