Journal of Knot Theory and Its Ramifications · 2013 · 65 citations · 22 references
Natural SciencesMathematicsPhysicsAlgebraMathematical PhysicsTheoretical PhysicsGauge TheoryHomological AlgebraHomology TheoryInvariant TheoryKnot TheoryQuantum Field TheoryAlexander PolynomialChern-simons TheoryKnot InvariantsKnot PolynomialsLink TheoryQuantum CohomologyQuantum GroupsSymmetric Group Representations
We elaborate the Chern–Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U q (𝔰𝔩 N ), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.
22
Quantum field theory and the Jones polynomial
Edward Witten · Communications in Mathematical Physics · 1989 · 4.9K citations
The Superpolynomial for Knot Homologies
Nathan M. Dunfield, Sergei Gukov, Jacob Rasmussen · Experimental Mathematics · 2006 · 245 citations
Torus Knots and Mirror Symmetry
Andrea Brini, Marcos Mariño, Bertrand Eynard · Annales Henri Poincaré · 2012 · 178 citations · Full text