Dynamical Noncommutative Spheres

Details Dynamical Noncommutative Spheres Dynamical Noncommutative Spheres

2001-12-19

arxiv.org/abs/math-ph/0112042v1

Commun.Math.Phys. 241 (2003) 161-175

Physics

Mathematical Physics

18 pages, AMS-LaTeX

Scientific paper

10.1007/s00220-003-0900-y

We introduce a family of noncommutative 4-spheres, such that the instanton
projector has its first Chern class trivial: $ch_1(e) = B \chi + b \xi$. We
construct for them a 4-dimensional cycle and calculate explicitly the
Chern-Connes paring for the instanton projector.

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