The noncommutative geometry of sphere bundles
Radboud Universiteit Nijmegen , Leiden University , Radboud Universiteit Nijmegen, Faculteit der Natuurwetenschappen, Wiskunde en Informatica, Institute for Mathematics, Astrophysics and Particle Physics (IMAPP) , Universiteit Leiden, Faculteit der Wiskunde en Natuurwetenschappen, Mathematisch Instituut
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Radboud Universiteit Nijmegen , Leiden University , Radboud Universiteit Nijmegen, Faculteit der Natuurwetenschappen, Wiskunde en Informatica, Institute for Mathematics, Astrophysics and Particle Physics (IMAPP) , Universiteit Leiden, Faculteit der Wiskunde en Natuurwetenschappen, Mathematisch Instituut
The proposed research focuses on the construction of quantum spheres. Spheres are highly symmetrical mathematical forms believed to encode perfection. Gluing them together in a suitable way one can construct new spaces which possess interesting mathematical features. This project analyses quantum analogues of such constructions, with the goal of making the tools of algebraic topology available for quantum theory.
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