English

A quantum twistor bundle

Quantum Algebra 2022-09-20 v1 Operator Algebras

Abstract

We investigate a quantum twistor bundle constructed as a U(1)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\'{n}ski and Szyma\'{n}ski. We provide a detailed description of the corresponding CC^*-algebra of `continuous functions' on its noncommutative total space.

Cite

@article{arxiv.2209.08870,
  title  = {A quantum twistor bundle},
  author = {Sophie Emma Zegers},
  journal= {arXiv preprint arXiv:2209.08870},
  year   = {2022}
}
R2 v1 2026-06-28T01:34:26.635Z