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Maurer-Cartan Methods in Deformation Theory: The Twisting Procedure by Dotsenko

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Maurer-Cartan Methods in Deformation Theory: The Twisting Procedu
Publication Date
2023-09-07
ISBN
9781108965644

About this product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1108965644
ISBN-13
9781108965644
eBay Product ID (ePID)
17061242191

Product Key Features

Number of Pages
150 Pages
Publication Name
Maurer-Cartan Methods in Deformation Theory : the Twisting Procedure
Language
English
Publication Year
2023
Subject
Topology
Type
Textbook
Author
Bruno Vallette, Vladimir Dotsenko, Sergey Shadrin
Subject Area
Mathematics
Series
London Mathematical Society Lecture Note Ser.
Format
Trade Paperback

Dimensions

Item Height
0.4 in
Item Length
9 in
Item Width
6 in

Additional Product Features

LCCN
2023-016412
Dewey Edition
23/eng/20231002
Series Volume Number
Series Number 488
Illustrated
Yes
Dewey Decimal
512/.482
Table Of Content
Introduction; 1. Maurer-Cartan methods; 2. Operad theory for filtered and complete modules; 3. Pre-Lie algebras and the gauge group; 4. The gauge origin of the twisting procedure; 5. The twisting procedure for operads; 6. Operadic twisting and graph homology; 7. Applications.
Synopsis
Covering an exceptional range of topics, this text provides a unique overview of the Maurer--Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory., This text provides a unique overview of the Maurer--Cartan methods in algebra, geometry, topology, and mathematical physics, offering a new conceptual treatment of the twisting procedure. It includes many motivating examples to render the theory accessible to graduate students, as well as a survey of recent applications.
LC Classification Number
QC20.7.L54

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