Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of $2$-local finite spectra which admit a $v_2^1$-self-map   At the prime $2$, Behrens, Hill, Hopkins and Mahowald showed $M_2(1,4)$
admits $32$-periodic $v_2$-self-map and more recently authors joint with
Mahowald showed $A_1$ also admits $32$-periodic $v_2$-self-map. This leads to
the question, whether there exists a finite $2$-local complex with periodicity
less than $32$. This paper will answer the question by producing a class of
finite $2$-local spectra $\widetilde{\mathcal{Z}}$ all of which admit
$1$-periodic $v_2$-self-map.

7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg