Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical index and eta forms for Dirac operators with one-dimensional
  kernel over a hypersurface   We generalize the transgression formula for the eta form of Bismut, Cheeger
and Berline, Getzler, Vergne for vertical Dirac operators on a fibre bundle
with odd dimensional fibres where the Dirac operators have locally at most one
eigenvalue of multiplicity one crossing zero transversally.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat