On the Relationship between Classical and Deformed Hopf Fibrations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Brzeziński, Tomasz, Gaunt, James, Schenkel, Alexander
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210602
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Relationship between Classical and Deformed Hopf Fibrations. Tomasz Brzeziński, James Gaunt and Alexander Schenkel. SIGMA 16 (2020), 008, 29 pages

The θ-deformed Hopf fibration S³θ → S² over the commutative 2-sphere is compared with its classical counterpart. It is shown that there exists a natural isomorphism between the corresponding associated module functors and that the affine spaces of classical and deformed connections are isomorphic. T...