Lectures on Noncommutative Geometry
Algebraic Geometry
2007-05-23 v1 Quantum Algebra
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 Chern-Weil theory, noncommutative symplectic geometry, noncommutative differential forms and double-tangent bundles.
Cite
@article{arxiv.math/0506603,
title = {Lectures on Noncommutative Geometry},
author = {Victor Ginzburg},
journal= {arXiv preprint arXiv:math/0506603},
year = {2007}
}
Comments
Preliminary draft, 124pp. Comments are welcome!