Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced Phase Space of the first order Einstein Gravity on ${\bf
  R}\times T^{2}$   Chern-Simons formulation of the 2+1 dimensional Einstein gravity with
negative cosmological constant is investigated when the spacetime has the
topology ${\bf R}\times T^{2}$. The physical phase space is shown to be a
direct product of two sub-phase spaces having symplectic structures with
opposite signs. Each sub-phase space is found to be a non-Hausdorff manifold
plus a set of measure zero. Geometrical interpretation of each point in the
phase space is also given. A prescription to quantize this phase space is
proposed.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex