A noncommutative geometric analysis of a sphere-torus topology change

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

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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:
Journal Article
Journal or Publication Title:
Journal of Geometry and Physics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2608
Subjects:
ID Code:
52286
Deposited By:
Deposited On:
10 Jan 2012 11:36
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 07:46