Chern-Simons theory, the 1/N expansion, and string theory
arXiv:1001.2542
Abstract
Chern-Simons theory in the 1/N expansion has been conjectured to be equivalent to a topological string theory. This conjecture predicts a remarkable relationship between knot invariants and Gromov-Witten theory. We review some basic aspects of this relationship, as well as the tests of this conjecture performed over the last ten years. Particular attention is given to indirect tests based on integrality conjectures, both for the HOMFLY and for the Kauffman invariants of links.
Talk given at the workshop Chern-Simons Gauge Theory: 20 years after, August 3-7 2009, Hausdorff Center for Mathematics. 18 pages, 11 eps figures; typos corrected, references added
Cited by in corpus (6)
- Torus knots and mirror symmetry
- Character expansion for HOMFLY polynomials. I. Integrability and difference equations
- The matrix model version of AGT conjecture and CIV-DV prepotential
- On genus expansion of superpolynomials
- Worldsheet Interpretation of the Level-Rank Duality
- Holomorphic Lagrangian fibrations of toric hyperkahler manifolds