Lie Methods in Deformation Theory

Name: Lie Methods in Deformation Theory
Brand: Springer Verlag, Singapore
SKU: 9789811911842
Price: 23400 KES
Availability: OutOfStock
ISBN: 9789811911842

2022 ed.

by Marco Manetti

Book Details

Format Hardback

Book Series Springer Monographs in Mathematics

ISBN-10 9811911843

ISBN-13 9789811911842

Edition 2022 ed.

Publisher Springer Verlag, Singapore

Imprint Springer Verlag, Singapore

Country of Manufacture GB

Country of Publication GB

Publication Date Aug 2nd, 2022

Print length 574 Pages

Weight 1,026 grams

Dimensions 16.40 x 24.20 x 3.80 cms

Product Classification: Algebra Differential & Riemannian geometry Differential and Riemannian geometry

KSh 23,400.00

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This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory.

This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective.

Deformation theory is an important subject in algebra and algebraic geometry, with an origin that dates back to Kodaira, Spencer, Kuranishi, Gerstenhaber, and Grothendieck. In the last 30 years, a new approach, based on ideas from rational homotopy theory, has made it possible not only to solve long-standing open problems, but also to clarify the general theory and to relate apparently different features. This approach works over a field of characteristic 0, and the central role is played by the notions of differential graded Lie algebra, L-infinity algebra, and Maurer-Cartan equations.

The book is written keeping in mind graduate students with a basic knowledge of homological algebra and complex algebraic geometry as utilized, for instance, in the book by K. Kodaira, Complex Manifolds and Deformation of Complex Structures. Although the main applications in this book concern deformation theory of complex manifolds, vector bundles, and holomorphic maps, the underlying algebraic theory also applies to a wider class of deformation problems, and it is a prerequisite for anyone interested in derived deformation theory.

Researchers in algebra, algebraic geometry, algebraic topology, deformation theory, and noncommutative geometry are the major targets for the book.

Get Lie Methods in Deformation Theory by Marco Manetti at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Verlag, Singapore and it has 574 pages.