Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological stability of diffeomorphism groups   In this paper we prove a stability theorem for block diffeomorphisms of
2d-dimensional manifolds that are connected sums of S^d x S^d. Combining this
with a recent theorem of S. Galatius and O. Randal-Williams and Morlet's lemma
of disjunction, we determine the homology of the classifying space of their
diffeomorphism groups relative to an embedded disk in a stable range.

6
The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess
16
The categories of this paper are: stat