Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a formula for the spectral flow and its applications   We consider a continuous path of bounded symmetric Fredholm bilinear forms
with arbitrary endpoints on a real Hilbert space, and we prove a formula that
gives the spectral flow of the path in terms of the spectral flow of the
restriction to a finite codimensional closed subspace. We also discuss the case
of restrictions to a continuous path of finite codimensional closed subspaces.
As an application of the formula, we introduce the notion of spectral flow for
a periodic semi-Riemannian geodesic, and we compute its value in terms of the
Maslov index.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin