Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The realization problem for non-integer Seifert fibered surgeries   Conjecturally, the only knots in $S^3$ with non-integer surgeries producing
Seifert fibered spaces are torus knots and cables of torus knots. In this
paper, we make progress on the associated realization problem. Let $Y$ be a
small Seifert fibered space arising by $p/q$-surgery on a knot in $S^3$, where
$p/q$ is positive and a non-integer. Let $e$ denote the weight of the central
vertex in the minimal star-shaped plumbing that $Y$ bounds. We show that if
$e\leq -2$ or $e\geq 3$, then $Y$ can be obtained by $p/q$-surgery on a torus
knot or a cable of a torus knot.

6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: cs
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc