Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational fields on a noncommutative space   Noncommutative three-dimensional gravity can be described in terms of a
noncommutative Chern-Simons theory. We extend this structure and also propose
an action for gravitational fields on an even dimensional noncommutative space.
The action is worked out in some detail for fields on a noncommutative ${\bf
CP}^2$ and on $S^4$.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin