Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Poincare lemma for codifferential, anticoexact forms, and
  applications to physics   The linear homotopy theory for codifferential operator on Riemannian
manifolds is developed in analogy to a similar idea for exterior derivative.
The main object is the cohomotopy operator, which singles out a module of
anticoexact forms from the module of differential forms defined on a
star-shaped open subset of a manifold. It is shown that there is a direct sum
decomposition of a differential form into coexact and anticoexat parts. This
decomposition gives a new way of solving exterior differential systems. The
method is applied to equations of fundamental physics, including vacuum
Dirac-K\"{a}hler equation, coupled Maxwell-Kalb-Ramond system of equations
occurring in a bosonic string theory and its reduction to the Dirac equation.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
18
The categories of this paper are: econ
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org