Volume Conjecture and Asymptotic Expansion ofq-Series
From MaRDI portal
Publication:5317278
DOI10.1080/10586458.2003.10504502zbMath1073.57006OpenAlexW2052291803WikidataQ123133510 ScholiaQ123133510MaRDI QIDQ5317278
Publication date: 16 September 2005
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/51726
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) General geometric structures on low-dimensional manifolds (57M50)
Related Items
The tail of a quantum spin network, Quantum invariants, modular forms, and lattice points II, Asymptotics of the colored Jones polynomial and the A-polynomial, The volume conjecture and topological strings, \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity, Rogers-Ramanujan type identities for alternating knots, On the asymptotic expansion of the colored Jones polynomial for torus knots, Proof of the volume conjecture for Whitehead doubles of a family of torus knots, Recurrence relations and asymptotics of colored Jones polynomials, Foundations of the Colored Jones Polynomial of singular knots, COLORED JONES POLYNOMIALS WITH POLYNOMIAL GROWTH, A framework of Rogers-Ramanujan identities and their arithmetic properties, On the quantum invariants for the spherical Seifert manifolds, Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant, Rademacher's conjecture and expansions at roots of unity of products generating restricted partitions
Uses Software
Cites Work
- Unnamed Item
- The hyperbolic volume of knots from the quantum dilogarithm
- \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity
- Volumes of hyperbolic three-manifolds
- The \(\eta\)-invariant of hyperbolic 3-manifolds
- The Yang-Baxter equation and invariants of links
- Chern-Simons invariants of 3-manifolds decomposed along tori and the circle bundle over the representation space of \(T^ 2\)
- \(q\)-series identities and values of certain \(L\)-functions
- A LINK INVARIANT FROM QUANTUM DILOGARITHM
- HYPERBOLIC STRUCTURE ARISING FROM A KNOT INVARIANT
- Representations of Knot Groups in SU(2)
- QUANTUM DILOGARITHM
- ENUMERATION OF CHORD DIAGRAMS AND AN UPPER BOUND FOR VASSILIEV INVARIANTS
- The coloured Jones function and Alexander polynomial for torus knots
- ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
- The colored Jones polynomials and the simplicial volume of a knot
- Vassiliev invariants and a strange identity related to the Dedekind eta-function