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A noncommutative geometric analysis of a sphere-torus topology change

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A noncommutative geometric analysis of a sphere-torus topology change. / Gratus, J .
In: Journal of Geometry and Physics, Vol. 49, No. 2, 02.2004, p. 156-175.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Gratus J. A noncommutative geometric analysis of a sphere-torus topology change. Journal of Geometry and Physics. 2004 Feb;49(2):156-175. doi: 10.1016/S0393-0440(03)00072-X

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Gratus, J . / A noncommutative geometric analysis of a sphere-torus topology change. In: Journal of Geometry and Physics. 2004 ; Vol. 49, No. 2. pp. 156-175.

Bibtex

@article{0c10d35074244c1ba8e3cb8c271b078f,
title = "A noncommutative geometric analysis of a sphere-torus topology change",
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.",
keywords = "noncommutative geometry, deformation quantisation, sphere torus, topology change",
author = "J Gratus",
year = "2004",
month = feb,
doi = "10.1016/S0393-0440(03)00072-X",
language = "English",
volume = "49",
pages = "156--175",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - A noncommutative geometric analysis of a sphere-torus topology change

AU - Gratus, J

PY - 2004/2

Y1 - 2004/2

N2 - 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.

AB - 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.

KW - noncommutative geometry

KW - deformation quantisation

KW - sphere torus

KW - topology change

U2 - 10.1016/S0393-0440(03)00072-X

DO - 10.1016/S0393-0440(03)00072-X

M3 - Journal article

VL - 49

SP - 156

EP - 175

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 2

ER -