Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construct $b$-symplectic toric manifolds from toric manifolds   In \cite{btoric}, Guillemin et al. proved a Delzant-type theorem which
classifies $b$-symplectic toric manifolds. More generally, in \cite{torus} they
proved a similar convexity result for general Hamiltonian torus action on
$b$-symplectic manifolds. In this paper, we provide a new way to construct
$b$-symplectic toric manifolds from usual toric manifolds. Conversely, through
this way, we can also decompose a $b$-symplectic toric manifolds to usual toric
manifolds. Finally, we will try to prove that this kind of decomposition is
useful, although the symplectic structure for our decomposition or construction
is not canonical.

35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con