Lectures on Noncommutative Geometry

Details Lectures on Noncommutative Geometry Lectures on Noncommutative Geometry

2005-06-29

arxiv.org/abs/math/0506603v1

Mathematics

Algebraic Geometry

Preliminary draft, 124pp. Comments are welcome!

Scientific paper

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.

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