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Springer Lie Methods in Deformation Theory - Springer Monographs

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Description

This comprehensive textbook provides an in-depth exploration of differential graded Lie algebras and L-infinity algebras, with a focus on their applications to deformation theory. Deformation theory represents a fundamental subject in algebra and algebraic geometry with historical roots in the work of Kodaira, Spencer, Kuranishi, Gerstenhaber, and Grothendieck. The book presents a modern approach grounded in rational homotopy theory, enabling solutions to long-standing problems in the field. As the first dedicated textbook on this subject matter, it offers both foundational chapters accessible to newcomers and advanced material for specialist mathematicians. This Springer Monographs in Mathematics volume synthesises classical perspectives with contemporary developments, making it an essential resource for researchers and graduate students exploring deformation theory and its connections to algebraic structures.

Key Features

Comprehensive coverage of differential graded Lie algebras and L-infinity algebras with practical applications to deformation theory research.

First dedicated textbook on Lie methods in deformation theory, offering a modern perspective based on rational homotopy theory principles.

Suitable for both graduate students learning foundational concepts and experienced mathematicians working on advanced problems in algebra.

Springer Monographs in Mathematics series publication ensuring rigorous mathematical exposition and professional presentation standards.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
03 August 2023
Listed Since
06 July 2023

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