Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential gorms, differential worms   We study "higher-dimensional" generalizations of differential forms. Just as
differential forms can be defined as the universal commutative differential
algebra containing C^\infty(M), we can define differential gorms as the
universal commutative bidifferential algebra. From a more conceptual point of
view, differential forms are functions on the superspace of maps from the odd
line to M and the action of Diff(the odd line) on forms is equivalent to deRham
differential and to degrees of forms. Gorms are functions on the superspace of
maps from the odd plane to M and we study the action of Diff(the odd plane) on
gorms; it contains more than just degrees and differentials. By replacing 2
with arbitrary n, we get differential worms.
  We also study a generalization of homological algebra that uses Diff(the odd
plane) or higher instead of Diff(the odd line), and a closely related question
of forms (and gorms and worms) on some generalized spaces (contravariant
functors and stacks) and of approximations of such "spaces" in terms of worms.
  Clearly, this is not a gormless paper.

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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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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: mtrl-th