Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kairvaire Problems in Stable Homotopy Theory   The Kervaire Problem is an unsolved problem in Stable Homotopy Theory. The
first interesting example is in dimension $30$. There exists a closed
stably-parallelizable manifold $\tilde{M}^{30}$ with Arf-Kervaire invariant 1.
It is unknown, if such a manifold exists in dimension $126$? The goal of the
paper is to recall the construction of the manifold $M^{30}$ and investigate
its properties.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio