Gratus, J (2004) A noncommutative geometric analysis of a sphere-torus topology change. Journal of geometry and physics, 49 (2). pp. 156-175. ISSN 0393-0440
Full text not available from this repository.Abstract
A one parameter set of noncommutative complex algebras is given. These may be considered deformation quantisation algebras. The commutative limit of these algebras correspond to the algebra of polynomial functions over a manifold or variety. The topology of the manifold or variety depends on the parameter, varying from nothing, to a point, a sphere, a certain variety and finally a torus. The irreducible adjoint preserving representations of the noncommutative algebras are studied. As well as typical noncommutative sphere type representations and noncommutative torus type representations, a new object is discovered and called a sphere-torus.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of geometry and physics |
| Uncontrolled Keywords: | noncommutative geometry ; deformation quantisation ; sphere torus ; topology change |
| Subjects: | UNSPECIFIED |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 52286 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 10 Jan 2012 11:36 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 20:03 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/52286 |
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