Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy $4$-spheres associated to an infinite order loose cork   We show the homotopy spheres $\Sigma_{n} = -W\smile_{f^{n}}W$, formed by
doubling the infinite order loose-cork $(W,f)$ by iterates of the cork
diffeomorphism $f: \partial W \to \partial W$ is $S^4$. To do this we first
show that $\Sigma_{n} $ are obtained by Gluck twistings of $S^4$; then from
this we show how to cancel $3$-handles of $\Sigma_{n}$ and identify it by
$S^{4}$.

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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph