Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tubular configurations: equivariant scanning and splitting   Replacing configurations of points by configurations of tubular
neighbourhoods (or discs) in a manifold, we are able to define a natural
scanning map that is equivariant under the action of the diffeomorphism group
of the manifold. We also construct the so-called power set map of configuration
spaces diffeomorphism equivariantly. Combining these two constructions yields
stable splittings in the sense of Snaith and generalisations thereof that are
equivariant. In particular one deduces stable splittings of homotopy orbit
spaces. As an application the homology injectivity is proved for diffeomorphism
of manifolds that fix an increasing number of points. Throughout we work with
configurations spaces with labels in a fibre bundle.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th