Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the homology of the spaces of long knots   This paper is a little more detailed version of math-QA/0010017 "Sur
l'homologie des espaces de n\oe uds non-compacts", where the first term of the
Vassiliev spectral sequence (computing the homology of the space of long knots
in ${\mathbb R}^d$, $d\ge 3$) was described in terms of the Hochschild homology
of the Poisson algebras operad for $d$ odd, and of the Gerstenhaber algebras
operad for $d$ even. In particular, the bialgebra of chord diagrams arises as
some subspace of this homology. The homology in question is the space of
characteristic classes for Hochschild cohomology of Poisson (resp.
Gerstenhaber) algebras considered as associative algebras. The paper begins
with necessary preliminaries on operads. Also a simplification of the
computations of the first term of the Vassiliev spectral sequence is given.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph