Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinors and the tangent groupoid   The purpose of this article is to study Ezra Getzler's approach to the
Atiyah-Singer index theorem from the perspective of Alain Connes' tangent
groupoid. We shall construct a "rescaled" spinor bundle on the tangent
groupoid, define a convolution operation on its smooth, compactly supported
sections, and explain how the algebra so-obtained incorporates Getzler's symbol
calculus.

0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics