Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Topological Period-Index Conjecture for spin$^c$ 6-manifolds   The Topological Period-Index Conjecture is an hypothesis which relates the
period and index of elements of the cohomological Brauer group of a space. It
was identified by Antieau and Williams as a topological analogue of the
Period-Index Conjecture for function fields.
  In this paper we show that the Topological Period-Index Conjecture holds and
is in general sharp for spin$^c$ 6-manifolds. We also show that it fails in
general for 6-manifolds.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int