Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Configuration complexes and a variant of Cathelineau's complex in weight
  3   In this paper we consider the Grassmannian complex of projective
configurations in weight 2 and 3, and Cathelineau's infinitesimal
polylogarithmic complexes. Our main result is a morphism of complexes between
the Grassmannian complex and the associated infinitesimal polylogarithmic
complex. In order to establish this connection we introduce an $F$-vector space
$\beta^D_2(F)$, which is an intermediate structure between a
$\varmathbb{Z}$-module $\mathcal{B}_2(F)$ (scissors congruence group for $F$)
and Cathelineau's $F$-vector space $\beta_2(F)$ which is an infinitesimal
version of it. The structure of $\beta^D_2(F)$ is also infinitesimal but it has
the advantage of satisfying similar functional equations as the group
$\mathcal{B}_2(F)$. We put this in a complex to form a variant of Cathelineau's
infinitesimal complex for weight 2.

34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph