2 papers
math.DG2025
The Kummer Construction of Calabi-Yau and Hyper-Kähler Metrics on the Surface, and Large Families of Volume Non-collapsed Limiting Compact Hyper-Kähler Orbifolds
Thomas Jiang
Right after Yau's resolution of the Calabi conjecture in the late 1970s, physicists Page and Gibbons-Pope conjectured that one may approximate Ricci-flat Kähler metrics on the …
quant-ph2025
Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands
B. Q. Song, J. D. H. Smith, T. Jiang +2
Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized "step" represents a distinct topological state. Here, we seek a counterpart…