Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The L^2 signature of torus knots   We find a formula for the L2 signature of a (p,q) torus knot, which is the
integral of the omega-signatures over the unit circle. We then apply this to a
theorem of Cochran-Orr-Teichner to prove that the n-twisted doubles of the
unknot, for n not 0 or 2, are not slice. This is a new proof of the result
first proved by Casson and Gordon.

12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org