4 papers
Remarks on the Complex Structures on and
Ruiming Liang, Chenhan Liu, Yang Zhang
Assuming the validity of the recently proposed \textit{``A compact complex threefold fibred by tori over the projective line, and the six-sphere''}, we construct an exotic complex…
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…
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…
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…