Dynamical Noncommutative Spheres

Abstract

We introduce a family of noncommutative 4-spheres, such that the instanton projector has its first Chern class trivial: $c{h}_1(e)=B\chi +b\xi$. We construct for them a 4-dimensional cycle and calculate explicitly the Chern-Connes paring for the instanton projector.

18 pages, AMS-LaTeX

References in corpus (3)

• Twists and spectral triples for isospectral deformations
• Instantons on the Quantum 4-Spheres S^4_q
• More noncommutative 4-spheres

Cited by in corpus (4)

• theta-deformations as compact quantum metric spaces
• On the Gauss-Chern-Bonnet theorem for the noncommutative 4-sphere
• Noncommutative Spheres and Instantons
• On the Absence of Continuous Symmetries for Noncommutative 3-Spheres