Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Profinite rigidity for Seifert fibre spaces   An interesting question is whether two 3-manifolds can be distinguished by
computing and comparing their collections of finite covers; more precisely, by
the profinite completions of their fundamental groups. In this paper, we solve
this question completely for closed orientable Seifert fibre spaces. In
particular, all Seifert fibre spaces are distinguished from each other by their
profinite completions apart from some previously-known examples due to Hempel.
We also characterize when bounded Seifert fibre space groups have isomorphic
profinite completions, given some conditions on the boundary.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat