Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Desingularizing compact Lie group actions   This note surveys the well-known structure of G-manifolds and summarizes
parts of two papers that have not yet appeared in print: one with joint with J.
Bruning and F. W. Kamber, and another with I. Prokhorenkov. In particular, from
a given manifold on which a compact Lie group acts smoothly, we construct a
sequence of manifolds on which the same Lie group acts, but with fewer levels
of singular strata. Global analysis and geometric results on the simpler
manifolds may be translated to results on the original manifold. Further, we
show that by utilizing bundles over a G-manifold with singular strata, we may
construct natural equivariant transverse Dirac-type operators that have
properties similar to Dirac operators on closed manifolds.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex