23 citations · 58 across the 14 of their papers we have counts for
6 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…
Fukaya's conjecture on Witten's twisted -structures
Kaileung Chan, Naichung Conan Leung, Ziming Nikolas Ma
Wedge product on deRham complex of a Riemannian manifold can be pulled back to via explicit homotopy, constructed using Green's operator, to give higher product struct…
Lattice point counting via Einstein metrics
Ziming Nikolas Ma, Naichung Conan Leung
We obtain a growth estimate for the number of lattice points inside any Q-Gorenstein cone. Our proof uses the result of Futaki-Ono-Wang on Sasaki-Einstein metric for the toric Sasa…