Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricting cohomology classes to disk and segment configuration spaces   The configuration space of n labeled disks of radius r inside the unit disk
is denoted Conf_{n, r}(D^2). We study how the cohomology of this space depends
on r. In particular, given a cohomology class of Conf_{n, 0}(D^2), for which r
does its restriction to Conf_{n, r}(D^2) vanish? A related question: given the
configuration space Seg_{n, r}(D^2) of n labeled, oriented segments of length
r, it has a map to (S^1)^n that records the direction of each segment. For
which r does this angle map have a continuous section? The paper consists of a
collection of partial results, and it contains many questions and conjectures.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph