Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stratified critical points one the real Milnor fibre and
  integral-geometric formulas   Let $(X,0) \subset (\mathbb{R}^n,0)$ be the germ of a closed subanalytic set
and let $f$ and $g : (X,0) \rightarrow (\mathbb{R},0)$ be two subanalytic
functions. Under some conditions, we relate the critical points of $g$ on the
real Milnor fibre $X \cap f^{-1}(\delta) \cap B_\epsilon$, $0 <| \delta | \ll
\epsilon \ll 1$, to the topology of this fibre and other related subanalytic
sets. As an application, when $g$ is a generic linear function, we obtain an
"asymptotic" Gauss-Bonnet formula for the real Milnor fibre of $f$. From this
Gauss-Bonnet formula, we deduce "infinitesimal" linear kinematic formulas.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas