APA (7th ed.) Citation

Liu, C., & Yau, S. (2025). A D-brane fantasy on noncommutative mirror symmetry, prelude: Noncommutative ringed spaces from local noncommutative crepant resolutions of a singular Calabi-Yau space, dynamical D-branes thereupon, and questions beyond.

Chicago Style (17th ed.) Citation

Liu, Chien-Hao, and Shing-Tung Yau. A D-brane Fantasy on Noncommutative Mirror Symmetry, Prelude: Noncommutative Ringed Spaces from Local Noncommutative Crepant Resolutions of a Singular Calabi-Yau Space, Dynamical D-branes Thereupon, and Questions Beyond. 2025.

MLA (9th ed.) Citation

Liu, Chien-Hao, and Shing-Tung Yau. A D-brane Fantasy on Noncommutative Mirror Symmetry, Prelude: Noncommutative Ringed Spaces from Local Noncommutative Crepant Resolutions of a Singular Calabi-Yau Space, Dynamical D-branes Thereupon, and Questions Beyond. 2025.