Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the deformation of path algebras   Those elements of the second de Rham cohomology group of a connected,
oriented Riemannian manifold which map its second homotopy group to zero or to
a discrete subgroup of the reals induce deformations of the path algebra of the
manifold. If the image is not identically zero then the induced deformations
are quantized. We examine the simplest examples, namely, the torus and the
2-sphere, and consider possible physical interpretations of the deformations of
their path algebras.

4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th