The Braided Quantum 2-Sphere

Abstract

In a recent paper the quantum 2-sphere $S_q^2$ was described as a quantum complex manifold. Here we consider several copies of $S_q^2$ and derive their braiding commutation relations. The braiding is extended to the differential and to the integral calculus on the spheres. A quantum analogue of the classical anharmonic ratio of four points on the sphere is given, which is invariant under the coaction of $S{U}_q(2)$.

14 pages

Cited by in corpus (2)

• Poisson Algebra of Differential Forms
• Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group