Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some aspects of braided geometry: differential calculus, tangent space,
  gauge theory   A new approach is suggested to quantum differential calculus on certain
quantum varieties.
  It consists in replacing quantum de Rham complexes with differentials
satisfying Leibniz rule by those which are in a sense close to Koszul complexes
from \cite{G1}. We also introduce the tangent space on a quantum hyperboloid
equipped with an action on the quantum function space and define the notions of
quantum (pseudo)metric and quantum connection (partially defined) on it. All
objects are considered from the viewpoint of flatness of quantum deformations.
A problem of constructing a flatly deformed quantum gauge theory is discussed
as well.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin