Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Topological Approach to Unitary Spectral Flow via Continuous
  Enumeration of Eigenvalues   It is a well-known result of T.\,Kato that given a continuous path of square
matrices of a fixed dimension, the eigenvalues of the path can be chosen
continuously. In this paper, we give an infinite-dimensional analogue of this
result, which naturally arises in the context of the so-called unitary spectral
flow. This provides a new approach to spectral flow, which seems to be missing
from the literature. It is the purpose of the present paper to fill in this
gap.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom