Lectures on Noncommutative Geometry
Abstract
These Lectures are based on a course on noncommutative geometry given by the author in 2003 at the University of Chicago. The lectures contain some standard material, such as Poisson and Gerstenhaber algebras, deformations, Hochschild cohomology, Serre functors, etc. We also discuss many less known as well as some new results, in particular, noncommutative ChernWeil theory, noncommutative symplectic geometry, noncommutative differential forms and doubletangent bundles.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2005
 DOI:
 10.48550/arXiv.math/0506603
 arXiv:
 arXiv:math/0506603
 Bibcode:
 2005math......6603G
 Keywords:

 Algebraic Geometry;
 Quantum Algebra
 EPrint:
 Preliminary draft, 124pp. Comments are welcome!