Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence of Satellites of Torus Knots in the Smooth Concordance
  Group   The main goal of this article is to obtain a condition under which an
infinite collection $\mathscr{F}$ of satellite knots (with companion a positive
torus knot and pattern similar to the Whitehead link) freely generates a
subgroup of infinite rank in the smooth concordance group. This goal is
attained by examining both the instanton moduli space over a 4-manifold with
tubular ends and the corresponding Chern-Simons invariant of the adequate
3-dimensional portion of the 4-manifold. More specifically, the result is
derived from Furuta's criterion for the independence of Seifert fibred homology
spheres in the homology cobordism group of oriented homology 3-spheres. Indeed,
we first associate to $\mathscr{F}$ the corresponding collection of 2-fold
covers of the 3-sphere branched over the elements of $\mathscr{F}$ and then
introduce definite cobordisms from the aforementioned covers of the satellites
to a number of Seifert fibered homology spheres. This allows us to apply
Furuta's criterion and thus obtain a condition that guarantees the independence
of the family $\mathscr{F}$ in the smooth concordance group.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn