Twist Knot Invariants and Volume Conjecture
DOI10.1007/978-3-030-55777-5_26zbMath1471.81049OpenAlexW3140363514MaRDI QIDQ5011804
Publication date: 27 August 2021
Published in: Quantum Theory and Symmetries (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-55777-5_26
Chern-Simons theoryknot invariantssuperpolynomialscolored HOMFLY-PT polynomialsquantum 6j-symbolssuper-a-polynomialsvolume conjectures
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Index theory and related fixed-point theorems on manifolds (58J20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Applications of group representations to physics and other areas of science (20C35) Knot polynomials (57K14) Higher-dimensional knots and links (57K45)
Cites Work
- Unnamed Item
- Unnamed Item
- Volume conjecture: refined and categorified
- Multiplicity-free quantum \(6j\)-symbols for \(U_q(\mathfrak{sl}_N)\)
- The hyperbolic volume of knots from the quantum dilogarithm
- Matrix factorizations and link homology. II.
- Quantum field theory and the Jones polynomial
- Skein-theoretical derivation of some formulas of Habiro
- Super-A-polynomials for twist knots
- Super-A-polynomial for knots and BPS states
- \(SU(N)\) quantum Racah coefficients and non-torus links
- A categorification of the Jones polynomial
- The colored Jones function is \(q\)-holonomic
- A geometric construction of colored HOMFLYPT homology
- Khovanov-Rozansky homology and topological strings
- Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
- Homological algebra of knots and BPS states
- The 1,2-coloured HOMFLY-PT link homology
- A new algorithm for the recursion of multisums with improved universal denominator
- The Superpolynomial for Knot Homologies
- TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES
- The colored Jones polynomials and the simplicial volume of a knot
