A quantum twistor bundle

Abstract

We investigate a quantum twistor bundle constructed as a U(1)-quotient of the quantum instanton bundle of Bonechi, Ciccoli and Tarlini. It is an example of a noncommutative bundle fulfilling conditions of the purely algebraic framework proposed by Brzezi\'nski and Szyma\'nski. We provide a detailed description of the corresponding C*-algebra of `continuous functions' on its noncommutative total space.

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