Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Structure of Higher-Dimensional Spheres   We explain in some detail the geometric structure of spheres in any
dimension. Our approach may be helpful for other homogeneous spaces (with other
signatures) such as the de Sitter and anti-de Sitter spaces. We apply the
procedure to the recently proposed division-algebras/Poincar\'e-conjecture
correspondence. Moreover, we explore the possibility of a connection between
N-qubit system and the Hopf maps. We also discuss the possible links of our
work with squashed-spheres in supergravity and pseudo-spheres in oriented
matroid theory.

8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin