Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclidean 4-simplices and invariants of four-dimensional manifolds: II.
  An algebraic complex and moves 2 <-> 4   We write out some sequences of linear maps of vector spaces with fixed bases.
Each term of a sequence is a linear space of differentials of metric values
ascribed to the elements of a simplicial complex - a triangulation of a
manifold. If the sequence turns out to be an acyclic complex then one can
construct a manifold invariant out of its torsion. We demonstrate this first
for three-dimensional manifolds, and then we conduct the part, related to moves
2 <-> 4, of the corresponding work for four-dimensional manifolds.

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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin