Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: HOMFLY polynomials, stable pairs and motivic Donaldson-Thomas invariants   Hilbert scheme topological invariants of plane curve singularities are
identified to framed threefold stable pair invariants. As a result, the
conjecture of Oblomkov and Shende on HOMFLY polynomials of links of plane curve
singularities is given a Calabi-Yau threefold interpretation. The motivic
Donaldson-Thomas theory developed by M. Kontsevich and the third author then
yields natural motivic invariants for algebraic knots. This construction is
motivated by previous work of V. Shende, C. Vafa and the first author on the
large $N$ duality derivation of the above conjecture.

14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph