Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantizing G-connections via the tangent groupoid   A description of the space of G-connections using the tangent groupoid is
given. As the tangent groupoid parameter is away from zero, the G-connections
act as convolution operators on a Hilbert space. The gauge action is examined
in the tangent groupoid description of the G-connections. Tetrads are
formulated as Dirac type operators. The connection variables and tetrad
variables in Ashtekar's gravity are presented as operators on a Hilbert space.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
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The categories of this paper are: hep-th
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin