English

Dynamical Noncommutative Spheres

Mathematical Physics 2009-11-07 v1 math.MP

Abstract

We introduce a family of noncommutative 4-spheres, such that the instanton projector has its first Chern class trivial: ch1(e)=Bχ+bξch_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.

Cite

@article{arxiv.math-ph/0112042,
  title  = {Dynamical Noncommutative Spheres},
  author = {Andrzej Sitarz},
  journal= {arXiv preprint arXiv:math-ph/0112042},
  year   = {2009}
}

Comments

18 pages, AMS-LaTeX