An Atiyah Sequence for Noncommutative Principal Bundles

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Schwieger, Kay, Wagner, Stefan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211530
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: An Atiyah Sequence for Noncommutative Principal Bundles. Kay Schwieger and Stefan Wagner. SIGMA 18 (2022), 015, 22 pages

We present a derivation-based Atiyah sequence for noncommutative principal bundles. Along the way, we treat the problem of deciding when a given *-automorphism on the quantum base space lifts to a *-automorphism on the quantum total space that commutes with the underlying structure group.