Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds

DOI10.1007/s00220-021-03953-yzbMath1470.57010arXiv2007.15872OpenAlexW3134855619MaRDI QIDQ2042361

Yuji Terashima, Kohei Iwaki, Hiroyuki Fuji, Hitoshi Murakami

Publication date: 29 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15872

zbMATH Keywords

\(q\)-seriescharacter varietyWitten-Reshetikhin-Turaev invariantsSeifert loop

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10)

Related Items

Witten-Reshetikhin-Turaev invariants, homological blocks, and quantum modular forms for unimodular plumbing H-graphs, Non-semisimple TQFT's and BPS \(q\)-series, Borel resummation of secular divergences in stochastic inflation, Resurgence analysis of quantum invariants of Seifert fibered homology spheres, Modular transformations of homological blocks for Seifert fibered homology 3-spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Localization for Wilson loops in Chern-Simons theory
• The volume conjecture, perturbative knot invariants, and recursion relations for topological strings
• Resurgence of the Kontsevich-Zagier series
• The hyperbolic volume of knots from the quantum dilogarithm
• Divergent series, summability and resurgence I. Monodromy and resurgence
• Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
• A version of the volume conjecture
• On the quantum invariants for the spherical Seifert manifolds
• Invariants of algebraic curves and topological expansion
• Quantum field theory and the Jones polynomial
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Plane curves associated to character varieties of 3-manifolds
• Proof of the volume conjecture for torus knots
• Torus knot and minimal model
• Modular forms and quantum invariants of \(3\)-manifolds
• Quantizing Weierstrass
• Fivebranes and 3-manifold homology
• Witten-Reshetikhin-Turaev invariants of Seifert manifolds
• 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis
• BPS invariants for Seifert manifolds
• Invariants of 3-manifolds via link polynomials and quantum groups
• A-polynomial, B-model, and quantization
• All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
• Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
• Representations and the colored Jones polynomial of a torus knot
• Volume Conjecture for Knots
• Quantum invariants, modular forms, and lattice points II
• COLORED JONES POLYNOMIALS WITH POLYNOMIAL GROWTH
• Topological methods to compute Chern-Simons invariants
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• The coloured Jones function and Alexander polynomial for torus knots
• ASYMPTOTIC BEHAVIORS OF THE COLORED JONES POLYNOMIALS OF A TORUS KNOT
• BPS spectra and 3-manifold invariants
• Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case
• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
• ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES
• Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links
• RESHETIKHIN–TURAEV INVARIANTS OF SEIFERT 3-MANIFOLDS FOR CLASSICAL SIMPLE LIE ALGEBRAS
• The colored Jones polynomials and the simplicial volume of a knot