Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trivializations of differential cocycles   Associated to a differential character is an integral cohomology class,
referred to as the characteristic class, and a closed differential form,
referred to as the curvature. The characteristic class and curvature are equal
in de Rham cohomology, and this is encoded in a commutative square. In the
Hopkins--Singer model, where differential characters are equivalence classes of
differential cocycles, there is a natural notion of trivializing a differential
cocycle. In this paper, we extend the notion of characteristic class,
curvature, and de Rham class to trivializations of differential cocycles. These
structures fit into a commutative square, and this square is a torsor for the
commutative square associated to characters with degree one less. Under the
correspondence between degree 2 differential cocycles and principal circle
bundles with connection, we recover familiar structures associated to global
sections.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph