Deformations of Algebras in Noncommutative Geometry

Small book cover: Deformations of Algebras in Noncommutative Geometry

Deformations of Algebras in Noncommutative Geometry

Publisher: arXiv
Number of pages: 120

In these notes, we give an example-motivated review of the deformation theory of associative algebras in terms of the Hochschild cochain complex as well as quantization of Poisson structures, and Kontsevich's formality theorem in the smooth setting. We then discuss quantization and deformation via Calabi-Yau algebras and potentials.

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