A noncommutative geometric analysis of a sphere-torus topology change

JOURNAL OF GEOMETRY AND PHYSICS

卷:49

Article

Gratus, J

关键词: noncommutative geometry;    deformation quantisation;    sphere torus;    topology change;   

DOI  :  10.1016/S0393-0440(03)00072-X

来源: Elsevier

【 摘 要 】

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. (C) 2003 Elsevier B.V. All rights reserved.

【 授权许可】

Free