Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the automorphic side of the K-theoretic Artin symbol   Clausen has constructed a homotopical enrichment of the Artin reciprocity
symbol in class field theory. On the Galois side, Selmer K-homology replaces
the abelianized Galois group, while on the automorphic side the K-theory of
locally compact vector spaces replaces classical idelic objects. We supply
proofs for some predictions of Clausen regarding the automorphic side.

4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg