Diaconescu, Duiliu-EmanuelHua, ZhengSoibelman, Yan2013-04-012013-04-012013-01-24http://hdl.handle.net/2097/15435Hilbert 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.en-USThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).Donaldson–Thomas theoryHOMFLY polynomialsArticle (publisher version)