Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Index Function and Minimal Cycles   Let P be a closed triangulated manifold, dim P=n. We consider the group of
simplicial 1-chains C_1(P) and the homology group H_1(P). We also use some
nonnegative weighting function L on C_1(P). For any homological class from
H_1(P) method proposed in article builds a cycle z with minimal weight L(z).
The main idea is in using a simplicial scheme of space of the regular covering
with automorphism group H_1(P). We construct this covering applying index
function relative to any basis of group H_{n-1}(P).

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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: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an