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Lectures on Noncommutative Geometry

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arxiv math/0506603 v1 pith:A26DCKE7 submitted 2005-06-29 math.AG math.QA

Victor Ginzburg This is my paper · ORCID
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keywords noncommutativegeometrylecturessomealgebrasauthorbundleschern-weil
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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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Cited by 1 Pith paper

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  1. A family of algebraic operations extending the Turaev cobracket

    math.QA 2025-02 accept novelty 7.0 of 10

    A new family of algebraic operations, the k-divergences, generalizes the Turaev cobracket and, for free associative algebras, coincides with ribbon graph operations and the standard cohomology generators of gl_n.

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