Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrality structures in topological strings and quantum $2$-functions   In this article, we first prove the integrality of open string BPS numbers
for a class of toric Calabi-Yau manifolds named generalized conifolds, by
applying the method introduced in our previous work \cite{LZ} to the explicit
disk counting formula obtained in \cite{PS}. Then, motivated by the integrality
structures in open topological string theory, we introduce a mathematical
notion of ``quantum 2-function'' which can be viewed as the quantization of the
notion of ``2-function'' introduced in \cite{SVW1}. Finally, we provide a basic
example of quantum 2-function and discuss the quantization of 2-functions.

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
3
The categories of this paper are: physics