Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative Deligne cohomology and Cheeger-Simons characters   In the paper [1] (arXiv:math/0408333) the authors discuss two possible
definitions of the relative Cheeger-Simons characters, the second one fitting
into a long exact sequence. Here we relate that picture to the one of the
relative Deligne cohomology groups, defined via the mapping cone: we show that
there are three meaningful relative groups, and we analyze the corresponding
definition of relative Cheeger-Simons characters in each case. We then extract
another definition, corresponding to the one fitting into a long exact sequence
in [1]. Finally we show how the explicit formulas for the holonomy, the
transgression maps and the integration can be extended to the relative case.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: math-ph