Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagram complexes, formality, and configuration space integrals for
  braids   We use rational formality of configuration spaces and the bar construction to
study the cohomology of the space of braids in dimension four or greater. We
provide a diagram complex for braids and a quasi-isomorphism to the de Rham
cochains on the space of braids. The quasi-isomorphism is given by a
configuration space integral followed by Chen's iterated integrals. This
extends results of Kohno and of Cohen and Gitler on the cohomology of the space
of braids to a CDGA suitable for integration. We show that this integration is
compatible with Bott-Taubes configuration space integrals for long links via a
map between two diagram complexes. As a corollary, we get a surjection in
cohomology from the space of long links to the space of braids. We also discuss
to what extent our results apply to the case of classical braids.

29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol