Quantum Isometry Groups

1. Preliminaries
Debashish Goswami, Jyotishman Bhowmick

2. Classical and Noncommutative Geometry
Debashish Goswami, Jyotishman Bhowmick

3. Definition and Existence of Quantum Isometry Groups
Debashish Goswami, Jyotishman Bhowmick

4. Quantum Isometry Groups of Classical and Quantum Spheres
Debashish Goswami, Jyotishman Bhowmick

5. Quantum Isometry Groups of Discrete Quantum Spaces
Debashish Goswami, Jyotishman Bhowmick

6. Nonexistence of Genuine Smooth CQG Coactions on Classical Connected Manifolds
Debashish Goswami, Jyotishman Bhowmick

7. Deformation of Spectral Triples and Their Quantum Isometry Groups
Debashish Goswami, Jyotishman Bhowmick

8. Spectral Triples and Quantum Isometry Groups on Group



Debashish Goswami, Jyotishman Bhowmick

9. An Example of Physical Interest
Debashish Goswami, Jyotishman Bhowmick

10. More Examples and Open Questions
Debashish Goswami, Jyotishman Bhowmick

Keywords: Mathematics, Global Analysis and Analysis on Manifolds, Mathematical Physics, Differential Geometry, Functional Analysis, Quantum Physics