We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > A noncommutative geometric analysis of a sphere...
View graph of relations

« Back

A noncommutative geometric analysis of a sphere-torus topology change

Research output: Contribution to journalJournal article


Associated organisational unit

Journal publication date02/2004
JournalJournal of Geometry and Physics
Number of pages20
Original languageEnglish


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.