Homological Methods in Noncommutative Geometry by D. Kaledin
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About this book :-
This text is lecture notes taught by Kaledinat the University of Tokyo. It consist total 11 lecturs. First 7 lectures focus on Hochschild homology and cyclic homology. Kaledin walks through various definitions, their connections, and key structures like the Connes–Tsygan differential. Next 4 lectures turn to Hochschild cohomology and the Kontsevich Formality Theorem, offering outlines of formality and deformation theory, although the full technical proof (e.g. the Deligne conjecture) is not covered.
Book Detail :-
This book has following details information.
Title:
Homological Methods in Noncommutative Geometry by D. Kaledin
Publisher:
Lenin
Year:
2008
Pages:
77
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Non-commutative geometry
2. Second bicomplex for cyclic homology. Connes’ differential.
3. Connes’ cyclic category
4. Combinatorics of the category
5. The structure of Dlc(?, k) and Fun(?, k)
6. Cyclic homology for general tensor categories
7. Cartier isomorphism in the commutative case
8. Hochschild cohomology
9. The language of operads
10. Combinatorics of planar trees
11. Deformations of DG algebras and A8 algebras
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