Lectures on Noncommutative Geometry
arXiv:math/0702140
Abstract
This text is an introduction to a few selected areas of Alain Connes' noncommutative geometry written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It is an expanded version of my lectures which was directed at graduate students and novice in the subject.
112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry". I would like to thank Arthur Greenspoon for carefully reading the text and making many useful suggestions
References in corpus (12)
- Deformation quantization of Poisson manifolds, I
- Hopf Algebras, Renormalization and Noncommutative Geometry
- Operads and Motives in Deformation Quantization
- Hopf algebras, cyclic cohomology and the transverse index theory
- Noncommutative Manifolds the Instanton Algebra and Isospectral Deformations
- Twisted K-theory and K-theory of bundle gerbes
- Twisted K-theory and loop group representations
- Moduli space and structure of noncommutative 3-spheres
- The Verlinde algebra is twisted equivariant K-theory
- Quantum fields and motives
- Background independent geometry and Hopf cyclic cohomology
- Yang-Mills and some related algebras