Quantizations of local Calabi-Yau threefolds and their moduli of vector bundles

2023/01/10 by Ballico, Edoardo, Gasparim, Elizabeth, Rubilar, Francisco +1
#14A22 #14D20 #53D17 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.04192

Abstract

We describe the geometry of noncommutative deformations of local Calabi-Yau threefolds, showing that the choice of Poisson structure strongly influences the geometry of the quantum moduli space.

Related

• Quantum deformations of projective three-space
• Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry
• Quantum Riemannian geometry of phase space and nonassociativity
• Global Non-perturbative Deformation Quantization of a Poisson Algebra
• Symplectic and Poisson derived geometry and deformation quantization