Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lie-algebraic approach to the local index theorem on compact
  homogeneous spaces   Using a K-theory point of view, Bott related the Atiyah-Singer index theorem
for elliptic operators on compact homogeneous spaces to the Weyl character
formula. This article explains how to prove the local index theorem for compact
homogenous spaces using Lie algebra methods. The method follows in outline the
proof of the local index theorem due to Berline and Vergne. But the use of
Kostant's cubic Dirac operator in place of the Riemannian Dirac operator leads
to substantial simplifications. An important role is also played by the quantum
Weil algebra of Alekseev and Meinrenken.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg