5 papers
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,…
Refined scattering diagrams and theta functions from asymptotic analysis of Maurer-Cartan equations
Naichung Conan Leung, Ziming Nikolas Ma, Matthew B. Young
We further develop the asymptotic analytic approach to the study of scattering diagrams. We do so by analyzing the asymptotic behavior of Maurer-Cartan elements of a differential g…
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…
Tropical counting from asymptotic analysis on Maurer-Cartan equations
Kwokwai Chan, Ziming Nikolas Ma
Let be a toric surface and be its Landau-Ginzburg (LG) mirror where is the Hori-Vafa potential. We apply asymptotic analysis to study the extended de…