Gopakumar–Vafa duality is a duality in string theory between perturbative 3d Chern-Simons Wilson loop observables (Vassiliev link invariants) and relative Gromov–Witten invariants of a 6–dimensional symplectic manifold relative to a Lagrangian submanifold.
The original articles are
Rajesh Gopakumar, Cumrun Vafa, Topological Gravity as Large N Topological Gauge Theory, Adv. Theor. Math. Phys. 2:413-442, 1998 (arXiv:hep-th/9802016)
Rajesh Gopakumar, Cumrun Vafa, On the Gauge Theory/Geometry Correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415-1443 (arXiv:hep-th/9811131)
Review includes
Dave Auckly, Sergiy Koshkin, Introduction to the Gopakumar-Vafa Large Duality, Geom. Topol. Monogr. 8 (2006) 195-456 (arXiv:0701568)
(relation to perturbative quantization of 3d Chern-Simons theory, weight systems on chord diagrams, etc.)
Last revised on December 28, 2019 at 18:27:20. See the history of this page for a list of all contributions to it.