
Preface  Preview Material  Table of Contents  Supplementary Material 
CBMS Regional Conference Series in Mathematics 2012; 129 pp; softcover Number: 116 ISBN10: 0821889796 ISBN13: 9780821889794 List Price: US$35 Member Price: US$28 All Individuals: US$28 Order Code: CBMS/116 See also: Topology, \(C^*\)Algebras, and String Duality  Jonathan Rosenberg Operads in Algebra, Topology and Physics  Martin Markl, Steve Shnider and Jim Stasheff  This book brings together both the classical and current aspects of deformation theory. The presentation is mostly selfcontained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available. The relation between the uniform continuity of algebraic maps and topologized tensor products is explained in detail, however, as this subject does not seem to be commonly known and the literature is scarce. The exposition begins by recalling Gerstenhaber's classical theory for associative algebras. The focus then shifts to a homotopyinvariant setup of MaurerCartan moduli spaces. As an application, Kontsevich's approach to deformation quantization of Poisson manifolds is reviewed. Then, after a brief introduction to operads, a strongly homotopy Lie algebra governing deformations of (diagrams of) algebras of a given type is described, followed by examples and generalizations. A copublication of the AMS and CBMS. Readership Graduate students and research mathematicians interested in deformations of algebras, moduli spaces, algebraic geometry, and/or algebraic topology. 


AMS Home 
Comments: webmaster@ams.org © Copyright 2014, American Mathematical Society Privacy Statement 