Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Checks of integrality properties in topological strings   Tests of the integrality properties of a scalar operator in topological
strings on a resolved conifold background or orientifold of conifold
backgrounds have been performed for arborescent knots and some non-arborescent
knots. The recent results on polynomials for those knots colored by SU(N) and
SO(N) adjoint representations are useful to verify Marino's integrality
conjecture up to two boxes in the Young diagram. In this paper, we review the
salient aspects of the integrality properties and tabulate explicitly for an
arborescent knot and a link. In our knotebook website, we have put these
results for over 100 prime knots available in Rolfsen table and some links. The
first application of the obtained results, an observation of the Gaussian
distribution of the LMOV invariants is also reported.

21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph