Deformations of Algebras in Noncommutative Geometry by Travis Schedler - PDF
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About this book :-
This text is a set of detailed lecture notes, designed to introduce and motivate algebraic deformation theory with concrete examples, balancing abstract ideas with real applications.
It begins by introducing the Hochschild cochain complex to explore how associative algebras can be “deformed” in controlled ways. Then It examines how this connects to quantization of Poisson algebras and to the celebrated Kontsevich formality theorem in smooth settings. The latter portion delves into deformations viewed through Calabi–Yau algebra frameworks and “potentials.” Real-world examples—such as Weyl algebras, enveloping algebras, symplectic reflection algebras, and certain singularity algebras—demonstrate the theory in practice.
Book Detail :-
This book has following details information.
Title:
Deformations of Algebras in Noncommutative Geometry by Travis Schedler - PDF
Publisher:
arXiv
Year:
2015
Pages:
120
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
1107570034
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Motivating examples
2. Formal deformation theory and Kontsevich’s theorem
3. Hochschild cohomology and infinitesimal deformations
4. Dglas, the Maurer-Cartan formalism, and proof of formality theorems
5. Calabi-Yau algebras and isolated hypersurface singularitie
6. Solutions to exercise
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