3 papers
math.DG2026
Complete Calabi-Yau metrics on noncompact K3 fibered threefolds
Ruiming Liang
In this article, we construct complete Calabi--Yau metrics on Lefschetz K3 fibrations over . Our approach involves a gluing construction for a collapsing approximate me…
math-ph2026
Quantization Commutes with Reduction of Chern-Simons Gauge Theory
Geyang Dai, Ruiming Liang, Yang Zhang
We prove an infinite-dimensional version of "quantization commutes with reduction" in the framework of geometric quantization of Chern-Simons gauge theory, focusing on the genus on…
math.DG2025
Complete Calabi-Yau metrics on noncompact abelian fibered threefolds
Ruiming Liang, Yang Zhang
In this article, we construct complete Calabi-Yau metrics on abelian fibrations over . We also provide compactification for so that the compactified variety has…