Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial Differential Forms   We extend to a scheme-theoretic context the notion of a combinatorial
differential form, due to A.Kock in the framework of synthetic differential
geometry. We show that group-valued combinatorial forms on a scheme may be
identified, under very general hypotheses, with traditional Lie algebra-valued
differential forms, and that their Lie algebra structure can be recovered from
first principles. Some basic results from differential geometry (Maurer-Cartan
equation, Bianchi identity), as well as a higher analogue, are obtained by
exploiting this identification.

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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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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: quant-ph