Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilization and satellite construction of doubly slice links   A 2-component oriented link in $S^3$ is called weakly doubly slice if it is a
cross-section of an unknotted sphere in $S^4$, and strongly doubly slice if it
is a cross-section of a 2-component trivial spherical link in $S^4$. We give
the first example of 2-component boundary links which are weakly doubly slice
but not strongly doubly slice. We also introduce a new invariant $g_{st}$ of
homotopically trivial links that measures the failure of a link from being
strongly doubly slice and that bounds the doubly slice genus $g_{ds}$ from
below. Our examples have arbitrarily large doubly slice genus but satisfy
$g_{st}=1$. We also prove that the Conway-Orson signature lower bound on
$g_{ds}$ is actually a lower bound on $g_{st}$.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: eess