Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A K-theoretic approach to Artin maps   We define a functorial "Artin map" attached to any small $\bf{Z}$-linear
stable $\infty$-category, which in the case of perfect complexes over a global
field recovers the usual Artin map from the idele class group to the
abelianized absolute Galois group. In particular, this gives a new proof of the
Artin reciprocity law.

6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph