Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surgeries on periodic links and homology of periodic 3-manifolds   We show that a closed orientable 3-manifold M admits an action of Z_p with
fixed point set S^1 iff M can be obtained as the result of surgery on a
p-periodic framed link L and Z_p acts freely on the components of L. We prove a
similar theorem for free Z_p-actions. As an interesting application, we prove
the following, rather unexpected result: for any M as above and for any odd
prime p, H_1(M, Z_p)\ne Z_p. We also prove a similar criterion of 2-periodicity
for rational homology 3-spheres.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas