Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the ring structure of spark characters   We give a new description of the ring structure on the differential
characters of a smooth manifold via the smooth hyperspark complex. We show the
explicit product formula, and as an application, calculate the product for
differential characters of the unit circle. Applying the presentation of spark
classes by smooth hypersparks, we give an explicit construction of the
isomorphism between groups of spark classes and the $(p,p)$ part of smooth
Deligne cohomology groups associated to a smooth manifold. We then give a new
direct proof that this is an isomorphism of ring structures.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th