The colored Jones polynomial and Kontsevich–Zagier series for double twist knots
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Publication:5003401
DOI10.1142/S0218216521500310zbMath1470.57023arXiv1710.04865OpenAlexW3181026164MaRDI QIDQ5003401
Publication date: 22 July 2021
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.04865
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Cites Work
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- Torus knots and quantum modular forms
- Congruences for Taylor expansions of quantum modular forms
- Irreducibility of \(q\)-difference operators and the knot \(7_{4}\)
- On the modularity of the unified WRT invariants of certain Seifert manifolds
- \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity
- \(A\)-polynomials of a family of two-Bridge knots
- Congruences for the Fishburn numbers
- Skein-theoretical derivation of some formulas of Habiro
- Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants
- Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
- A two-variable series for knot complements
- Quantum modularity of partial theta series with periodic coefficients
- The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. II
- Quantum Jacobi forms in number theory, topology, and mathematical physics
- Congruences and relations for \(r\)-Fishburn numbers
- Asymptotics of the colored Jones polynomial and the A-polynomial
- Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
- Nonabelian representations and signatures of double twist knots
- Dissections of a "strange" function
- Congruences for Fishburn numbers modulo prime powers
- A Formula for the Colored Jones Polynomial of 2-Bridge Knots
- DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
- Large color R-matrix for knot complements and strange identities
- Quantum q-series identities
- Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions
- Knots
- Vassiliev invariants and a strange identity related to the Dedekind eta-function