Many interesting C∗-algebras can be viewed as quantizations of Poisson manifolds. I
propose that a Poisson manifold may be quantized by a twisted polarized convolution C∗ …

We formalize Feynman's construction of the quantum mechanical path integral. To do this,
we shift the emphasis in differential geometry from the tangent bundle onto the pair …

We expound upon our (polarization-free) definition of the quantization map in geometric
quantization, which is justified using the Poisson sigma model and pieces together most …

This book is a survey of the theory of formal deformation quantization of Poisson manifolds,
in the formalism developed by Kontsevich. It is intended as an educational introduction for …

We canonically quantize a Poisson manifold to a Lie 2-groupoid, complete with a
quantization map, and show that it relates geometric and deformation quantization: the …

Based on work done by Bonechi, Cattaneo, Felder and Zabzine on Poisson sigma models,
we formally show that Kontsevich's star product can be obtained from the twisted convolution …

We give a physical derivation of generalized Kähler geometry. Starting from a
supersymmetric nonlinear sigma model, we rederive and explain the results of Gualtieri …

We derive the geometric quantization program of symplectic manifolds, in the sense of both
Kostant-Souriau and Weinstein, from Feynman's path integral formulation on phase space …

Six lectures on Geometric Quantization arXiv:2306.00178v1 [math-ph] 31 May 2023 Page 1 Six
lectures on Geometric Quantization Konstantin Wernli June 2, 2023 Abstract These are the …

We construct the moduli spaces associated to the solutions of equations of motion (modulo
gauge transformations) of the Poisson sigma model with target being an integrable Poisson …