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

We study the skein algebra of the genus 2 surface and its action on the skein module of the
genus 2 handlebody. We compute this action explicitly, and we describe how the module …

This monograph ˇrst appeared in 1994 and was re-edited with minor changes in 2010. The
present third edition (2016) differs from the second one only by the updated bibliography …

We study a topological aspect of rank-1 double-affine Hecke algebra (DAHA). Clarified is a
relationship between the DAHA of A_1 A 1-type (resp. C^ ∨ C_1 C∨ C 1-type) and the …

We develop a calculus of Berezin-Toeplitz operators quantizing exotic classes of smooth
functions on compact K\" ahler manifolds and acting on holomorphic sections of powers of …

This paper outlines an approach to the non-abelian theta functions of the SU (2)-Chern-
Simons theory with the methods used by A. Weil for studying classical theta functions. First …

We provide an (almost) self-contained construction of the Witten-Reshetikhin-Turaev
representations of the mapping class group. We describe its properties including its …

Kähler quantization and entanglement - ScienceDirect Skip to main contentSkip to article Elsevier
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Dans cette thèse, nous prouvons des résultats de théorie spectrale, directe et inverse, dans
la limite semi-classique, pour les opérateurs de Toeplitz autoadjoints sur les surfaces. Pour …

Coherent Loop States and their Applications in Geometric Quantization Page 1 Coherent
Loop States and their Applications in Geometric Quantization by Nzaganya Nzaganya …