In the context of 3-manifolds, determining the asymptotic expansion of the Witten–
Reshetikhin–Turaev invariants and constructing the topological field theory that provides …

Turaev–Viro invariants, colored Jones polynomials, and volume Page 1 Quantum Topol. 9 (2018),
775–813 DOI 10.4171/QT/120 Quantum Topology © European Mathematical Society Turaev–Viro …

Berezin–Toeplitz operators naturally appear in quantum mechanics with compact classical
phase space, when studying the semiclassical limit of the geometric quantisation procedure …

For a Seifert fibered homology sphere XX, we show that the qq‐series invariant Z ̂ 0 (X; q)
̂Z_0(X;q), introduced by Gukov–Pei–Putrov–Vafa, is a resummation of the Ohtsuki series Z …

A bstract We compute an upper bound on the circuit complexity of quantum states in 3d
Chern-Simons theory corresponding to certain classes of knots. Specifically, we deal with …

Double affine Hecke algebras and generalized Jones polynomials Page 1 Double affine
Hecke algebras and generalized Jones polynomials Yuri Berest and Peter Samuelson …

For a banded link $ L $ in a surface times a circle, the Witten-Reshetikhin-Turaev invariants
are topological invariants depending on a sequence of complex $2 p $-th roots of unity …

In this paper we engage in a general study of the asymptotic expansion of the Witten–
Reshetikhin–Turaev invariants of mapping tori of surface mapping class group elements. We …

We describe the asymptotic behaviour of the quantum propagator generated by a Berezin-
Toeplitz operator with real-valued principal symbol. We also give precise asymptotics for …

For any surface with genus $\geqslant 2$, the monodromy of Hitchin's connection is a
projective representation of the mapping class group of the surface. We establish two results …