The geometric approach to quantization was introduced by Konstant and Souriau more than
20 years ago. It has given valuable and lasting insights into the relationship between …

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

The proof of Witten's finiteness conjecture established that the Kauffman bracket skein
modules of closed $3 $-manifolds are finitely generated over $\mathbb Q (A) $. In this paper …

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 …

In this paper, we prove a conjecture by Gukov-Pei-Putrov-Vafa for a wide class of plumbed 3-
manifolds. Their conjecture states that Witten-Reshetikhin-Turaev (WRT) invariants are …

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 …

We identify the leading order term of the asymptotic expansion of the Witten–Reshetikhin–
Turaev invariants for finite order mapping tori with classical invariants for all simple and …

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

ABSTRACT Consider the Chern-Simons topological quantum field theory with gauge group
SU2 and level k. Given a knot in the 3-sphere, this theory associates to the knot exterior an …