Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-cocycles give a full nonlinear parameterization of the simplest 3--3
  relation   A parameterization of Grassmann-algebraic relations corresponding to the
Pachner move 3--3 is proposed. In these relations, each 4-simplex is assigned a
Grassmann weight depending on five anticommuting variables associated with its
3-faces. The weights are chosen to have the "simplest" form - a
Grassmann--Gaussian exponent or its analogue (satisfying a similar system of
differential equations). Our parameterization works for a Zariski open set of
such relations, looks relevant from the algebraic-topological viewpoint, and
reveals intriguing nonlinear relations between objects associated with
simplices of different dimensions.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph