Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $L^2$-Alexander invariant detects the unknot   In this article, we present some of the properties of the $L^2$-Alexander
invariant of a knot defined by Li and Zhang, some of which are similar to those
of the classical Alexander polynomial. Notably we prove that the
$L^2$-Alexander invariant detects the trivial knot.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex