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Maurer-Cartan Methoden in der Verformungstheorie: Das Verdrehverfahren von Dotsenko-
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Standort: Sparks, Nevada, USA
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eBay-Artikelnr.:286066403397
Artikelmerkmale
- Artikelzustand
- Book Title
- Maurer-Cartan Methods in Deformation Theory: The Twisting Procedu
- Publication Date
- 2023-09-07
- ISBN
- 9781108965644
Über dieses Produkt
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
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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