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Noncommutative geometry and quantization

Authors

Várilly Boyle, Joseph C.

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Abstract

We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well as the emergence of Hopf algebras as a tool linking index theory and renormalization calculations.

Description

En el libro: Particles and Fields (Proceedings of the X Jorge André Swieca Summer School, São Paulo, Brazil, Febrero 2000), World Scientific, Singapore, Junio 2000, pp. 321-346.

Keywords

geometría no conmutativa, triple espectral, teorema del índice, MATEMÁTICAS

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