Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On string quasitoric manifolds and their orbit polytopes   This article mainly aims to give combinatorial characterizations and
topological descriptions of quasitoric manifolds with string property. We
provide a necessary and sufficient condition for a simple polytope in dimension
2 and 3 to be realizable as the orbit polytope of a string quasitoric manifold.
In particular, a complete description of string quasitoric manifolds over
prisms is obtained. On the other hand, we characterize string quasitoric
manifolds over $n$-dimensional simple polytopes with no more than $2n+2$
facets. Further results are available when the orbit polytope is the connected
sum of a cube and another simple polytope. In addtion, a real analogue
concerning small cover is briefly discussed.

24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex