Dynamical Noncommutative Spheres

Andrzej Sitarz

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Dynamical Noncommutative Spheres

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arxiv math-ph/0112042 v1 pith:KDPP24B2 submitted 2001-12-19 math-ph math.MP

Dynamical Noncommutative Spheres

Andrzej Sitarz This is my paper

classification math-ph math.MP

keywords instantonnoncommutativeprojectorspherescalculatechernchern-connesclass

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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.

Dynamical Noncommutative Spheres

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