English

Noncommutative geometry and quantization

High Energy Physics - Theory 2007-05-23 v1

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

Keywords

Cite

@article{arxiv.hep-th/9912171,
  title  = {Noncommutative geometry and quantization},
  author = {Joseph C. Varilly},
  journal= {arXiv preprint arXiv:hep-th/9912171},
  year   = {2007}
}

Comments

26 pages, standard Latex, needs XyPic fonts. Lectures delivered at the X Jorge Andre Swieca Summer School on Particles and Fields, Sao Paulo, 7-12 February 1999