Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Algebra Bundles and Associator Varieties   Algebra bundles, in the strict sense, appear in many areas of geometry and
physics. However, the structure of an algebra is flexible enough to vary
non-trivially over a connected base, giving rise to a structure of a weak
algebra bundle. We will show that the notion of a weak algebra bundle is more
natural than that of a strict algebra bundle. We will give necessary and
sufficient conditions for weak algebra bundles to be locally trivial. The
collection of non-trivial associative algebras of a fixed dimension forms a
projective variety, called associator varieties. We will show that these
varieties play the role the Grassmannians play for principal $O(n)$-bundles.

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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph