Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermions on Non-Trivial Topologies   An exact expression for the Green function of a purely fermionic system
moving on the manifold $\Re \times \Sigma^{D-1}$, where $\Sigma^{D-1}$ is a
$(D-1)$-torus, is found. This expression involves the bosonic analog of $\chi_n
= e^{in\theta}$ corresponding to the irreducible representation for the n-th
class of homotopy and in the fermionic case for D=2 and 3, $\chi_n$ is a
measure of the statistics of the particles. For higher dimensions ($D \geq 4$),
there is no analogue interpretation however this could, presumably, indicate a
generation of mass as in quantum field theories at finite temperature.

23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg