Knots, perturbative series and quantum modularity

Knot polynomials (57K14) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10) General topology of 3-manifolds (57K30)

Cites Work

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Holomorphic blocks in three dimensions
Irreducibility of $q$-difference operators and the knot $7_{4}$
Gauge theories labelled by three-manifolds
Nahm's conjecture: asymptotic computations and counterexamples
The complex volume of $\mathrm{SL}(n,\mathbb{C})$-representations of 3-manifolds
Fivebranes and knots
The hyperbolic volume of knots from the quantum dilogarithm
On the theory of Dedekind sums.
An algorithmic proof theory for hypergeometric (ordinary and ``$q$) multisum/integral identities
Asymptotics of Nahm sums at roots of unity
Evaluation of state integrals at rational points
The volume and Chern-Simons invariant of a representation
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Exact results for perturbative Chern-Simons theory with complex gauge group
Volumes of hyperbolic three-manifolds
Hecke algebra representations of braid groups and link polynomials
The Yang-Baxter equation and invariants of links
Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes)
Plane curves associated to character varieties of 3-manifolds
The virtual Haken conjecture: Experiments and examples
Modular forms and quantum invariants of $3$-manifolds
Quantum modularity and complex Chern-Simons theory
From state integrals to $q$-series
$K_ 3$ of a field and the Bloch group
Extended Bloch group and the Cheeger-Chern-Simons class
Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
Discrete Heisenberg-Weyl group and modular group
A polynomial invariant of rational homology $3$-spheres
Asymptotics of classical spin networks. With an appendix by Don Zagier
The quantum content of the gluing equations
The resurgent structure of quantum knot invariants
${\widehat{Z}}$ at large $N$: from curve counts to quantum modularity
Modularity and value distribution of quantum invariants of hyperbolic knots
Adjoint Reidemeister torsions from wrapped M5-branes
The Ptolemy field of 3-manifold representations
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
The extended Bloch group and algebraic $K$-theory
The colored Jones function is $q$-holonomic
Chern-Simons theory, analytic continuation and arithmetic
Proof of the volume conjecture for Whitehead chains
The extended Bloch group and the Cheeger-Chern-Simons class
Moduli spaces of local systems and higher Teichmüller theory
Real places and torus bundles
A TQFT from quantum Teichmüller theory
Three-dimensional quantum gravity, Chern-Simons theory, and the $A$-polynomial
The finiteness conjecture for skein modules
A LINK INVARIANT FROM QUANTUM DILOGARITHM
Exact Computation of then-Loop Invariants of Knots
THE NON-COMMUTATIVE A-POLYNOMIAL OF TWIST KNOTS
The Dilogarithm Function
QUANTUM DILOGARITHM
BPS spectra and 3-manifold invariants
Sequences of Enumerative Geometry: Congruences and Asymptotics
The NoncommutativeA-Polynomial of (−2, 3,n) Pretzel Knots
Two Lectures On The Jones Polynomial And Khovanov Homology
The colored Jones polynomials and the simplicial volume of a knot
Period functions for Maass wave forms. I.
Vassiliev invariants and a strange identity related to the Dedekind eta-function
Knots and their related $q$-series
Bloch groups, algebraic $K$-theory, units, and Nahm's Conjecture
Peacock patterns and resurgence in complex Chern-Simons theory
The descendant colored Jones polynomials