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Lectures on Noncommutative Geometry

代数几何 2007-05-23 v1 量子代数

摘要

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.

关键词

引用

@article{arxiv.math/0506603,
  title  = {Lectures on Noncommutative Geometry},
  author = {Victor Ginzburg},
  journal= {arXiv preprint arXiv:math/0506603},
  year   = {2007}
}

备注

Preliminary draft, 124pp. Comments are welcome!