On Link Invariants and Topological String Amplitudes

Abstract

We explicitly show that the new polynomial invariants for knots, upto nine crossings, agree with the Ooguri-Vafa conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold.

Some discussions modified, final version to appear in Nuclear Physics B

Cited by in corpus (74)

• The Topological Vertex
• Worldsheet Derivation of a Large N Duality
• Chern-Simons Theory and Topological Strings
• HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
• Framed knots at large N
• Colored HOMFLY polynomials of knots presented as double fat diagrams
• Character expansion for HOMFLY polynomials. III. All 3-Strand braids in the first symmetric representation
• SO and Sp Chern-Simons at Large N
• Colored HOMFLY polynomials for the pretzel knots and links
• Universal Racah matrices and adjoint knot polynomials. I. Arborescent knots
• Eigenvalue hypothesis for Racah matrices and HOMFLY polynomials for 3-strand knots in any symmetric and antisymmetric representations
• Mirror Symmetry and a $G_2$ Flop
• Knots-quivers correspondence
• Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids
• Colored knot polynomials for Pretzel knots and links of arbitrary genus
• BPS states, knots and quivers
• On universal knot polynomials
• Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants
• Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux
• Super-A-polynomials for Twist Knots
• Towards effective topological field theory for knots
• On colored HOMFLY polynomials for twist knots
• Tabulating knot polynomials for arborescent knots
• Knot invariants from Virasoro related representation and pretzel knots
• Colored knot polynomials. HOMFLY in representation [2,1]
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• String theory and the Kauffman polynomial
• Genus expansion of HOMFLY polynomials
• Towards topological quantum computer
• A note on colored HOMFLY polynomials for hyperbolic knots from WZW models
• Topological strings, strips and quivers
• Disc Instantons in Linear Sigma Models
• Donaldson-Thomas invariants, torus knots, and lattice paths
• Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial
• Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules
• SU(N) quantum Racah coefficients & non-torus links
• On the Worldsheet Derivation of Large N Dualities for the Superstring
• Reformulated invariants for non-torus knots and links
• Summing up Open String Instantons and N=1 String Amplitudes
• Racah matrices and hidden integrability in evolution of knots
• Link polynomial calculus and the AENV conjecture
• Knots, BPS states, and algebraic curves
• Differential expansion and rectangular HOMFLY for the figure eight knot
• HOMFLY polynomials in representation [3,1] for 3-strand braids
• Factorization of differential expansion for antiparallel double-braid knots
• Cabling procedure for the colored HOMFLY polynomials
• On rectangular HOMFLY for twist knots
• Differential expansion for link polynomials
• Tangle blocks in the theory of link invariants
• U(N) Framed Links, Three-Manifold Invariants, and Topological Strings
• Multi-Colored Links From 3-strand Braids Carrying Arbitrary Symmetric Representations
• Eigenvalue hypothesis for multi-strand braids
• Rectangular superpolynomials for the figure-eight knot
• Eigenvalue conjecture and colored Alexander polynomials
• Distinguishing Mutant Knots
• Checks of integrality properties in topological strings
• New symmetries for the $U_q(s{l}_N)$ 6-j symbols from the Eigenvalue conjecture
• On possible existence of HOMFLY polynomials for virtual knots
• SO(N) Reformulated Link Invariants from Topological Strings
• Quantum Racah matrices up to level 3 and multicolored link invariants
• Gaussian distribution of LMOV numbers
• On the block structure of the quantum R-matrix in the three-strand braids
• Composite Representation Invariants and Unoriented Topological String Amplitudes
• Composite Invariants and Unoriented Topological String Amplitudes
• Colored HOMFLY-PT polynomials of quasi-alternating $3$-braid knots
• Lagrangians for the Gopakumar-Vafa conjecture
• Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and the Surface Operators
• Nahm sums, quiver A-polynomials and topological recursion
• Large N dualities and transitions in geometry
• Matrix integral expansion of colored Jones polynomials for figure-eight knot
• D Branes and Phases on String Worldsheet
• SU(2)/SL(2) knot invariants and KS monodromies
• Open/Closed BPS Correspondence and Integrality
• On an alternative stratification of knots