Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new short proof of the local index formula and some of its
  applications   We give a new short proof of the index formula of Atiyah and Singer based on
combining Getzler's rescaling with Greiner's approach of the heat kernel
asymptotics. As application we can easily compute the Connes-Moscovici cyclic
cocycle of even and odd Dirac spectral triples, and then recover the
Atiyah-Singer index formula (even case) and the Atiyah-Patodi-Singer spectral
flow formula (odd case).

19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th