Yang Zhang

collaborators

3 papers

math.DG2026

Remarks on the Complex Structures on $P^{3}$ and $S^{2} \times S^{4}$

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…

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 $X$ over $C$ . We also provide compactification for $X$ so that the compactified variety has…

Remarks on the Complex Structures on P3 and S2×S4

Quantization Commutes with Reduction of Chern-Simons Gauge Theory

Complete Calabi-Yau metrics on noncompact abelian fibered threefolds

Remarks on the Complex Structures on $P^{3}$ and $S^{2} \times S^{4}$