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Holomorphic Structures on the Quantum Projective Line

Holomorphic Structures on the Quantum Projective Line

We show that much of the structure of the 2-sphere as a complex curve survives the q-deformation and has natural generalizations to the quantum 2-sphere - which, with additional structures, we identify with the quantum projective line. Notably among these is the identification of a quantum homogeneous coordinate ring with …