Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The strong Kervaire invariant problem in dimension 62   Using a Toda bracket computation $\langle \theta_4, 2, \sigma^2\rangle$ due
to Daniel C. Isaksen [11], we investigate the $45$-stem more thoroughly. We
prove that $\theta_4^2=0$ using a $4$-fold Toda bracket. By [2], this implies
that $\theta_5$ exists and there exists a $\theta_5$ such that $2\theta_5=0$.
Based on $\theta_4^2=0$, we simplify significantly the $9$-cell complex
construction in [1] to a $4$-cell complex, which leads to another proof that
$\theta_5$ exists.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org