4 papers · 1 filter
Symmetry in Deformation quantization and Geometric quantization
Naichung Conan Leung, Qin Li, Ziming Nikolas Ma
In this paper, we explore the quantization of Kähler manifolds, focusing on the relationship between deformation quantization and geometric quantization. We provide a classificatio…
Geometric quantization and quantum moment maps on coadjoint orbits and Kähler-Einstein manifolds
Naichung Conan Leung, Qin Li, Ziming Nikolas Ma
Deformation quantization and geometric quantization on Kähler manifolds give the mathematical description of the algebra of quantum observables and the Hilbert spaces respectively,…
Fukaya's conjecture on -equivariant de Rham complex
Ziming Nikolas Ma
Getzler-Jones-Petrack introduced structures on the equivariant complex for manifold with smooth action, motivated by geometry of loop spaces. Applying…
SYZ mirror symmetry from Witten-Morse theory
Ziming Nikolas Ma
This is a survey article on the recent progress in understanding the Strominger-Yau-Zaslow (SYZ) mirror symmetry conjecture, especially on the effect of quantum corrections, via Wi…