Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothly embedding Seifert fibered spaces in $S^4$   Using an obstruction based on Donaldson's theorem, we derive strong
restrictions on when a Seifert fibered space $Y = F(e; \frac{p_1}{q_1}, \ldots,
\frac{p_k}{q_k})$ over an orientable base surface $F$ can smoothly embed in
$S^4$. This allows us to classify precisely when $Y$ smoothly embeds provided
$e > k/2$, where $e$ is the normalized central weight and $k$ is the number of
singular fibers. Based on these results and an analysis of the
Neumann-Siebenmann invariant $\overline{\mu}$, we make some conjectures
concerning Seifert fibered spaces which embed in $S^4$. Finally, we also
provide some applications to doubly slice Montesinos links, including a
classification of the smoothly doubly slice odd pretzel knots up to mutation.

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The categories of this paper are: hep-ex
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The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg