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Title Higher structures in geometry and physics : in honor of Murray Gerstenhaber and Jim Stasheff / Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu, editors.
Imprint [United States] : Birkhauser, 2011.

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Series Progress in mathematics ; v. 287
Progress in mathematics (Boston, Mass.) ; v. 287.
Subject Algebra.
Alt Name Cattaneo, A. S. (Alberto S.)
Giaquinto, Anthony.
Xu, Ping, Professor.
Description 1 online resource (xv, 362 pages) : color portraits.
Note Articles in English and French.
Bibliography Note Includes bibliographical references.
Contents Higher Structures in Geometry and Physics; Foreword; Preface; Contents; List of Contributors; Topics in Algebraic Deformation Theory; Origins and Breadth of the Theory of Higher Homotopies; The Deformation Philosophy, Quantization and Noncommutative Space-Time Structures; Differential Geometry of Gerbes and Differential Forms; Symplectic Connections of Ricci Type and Star Products; Effective Batalin -- Vilkovisky Theories, Equivariant Configuration Spaces and Cyclic Chains; Noncommutative Calculus and the Gauss -- Manin Connection; The Lie Algebra Perturbation Lemma.
Twisting Elements in Homotopy G-AlgebrasHomological Perturbation Theory and Homological Mirror Symmetry; Categorification of Acyclic Cluster Algebras: An Introduction; Poisson and Symplectic Functions in Lie Algebroid Theory; The Diagonal of the Stasheff Polytope; Permutahedra, HKR Isomorphism and Polydifferential Gerstenhaber -- Schack Complex; Applications de la bi-quantification a la theorie de Lie; Higher Homotopy Hopf Algebras Found: A Ten-Year Retrospective.
Summary This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics-- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics-- and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of.
Note Print version record.
ISBN 9780817647353 (electronic bk.)
081764735X (electronic bk.)
9780817647346 (electronic bk.)
0817647341 (electronic bk.)
ISBN/ISSN 10.1007/978-0-8176-4735-3
OCLC # 695389131
Additional Format Print version: Higher structures in geometry and physics. [New York?] : Birkhauser, 2011 9780817647346 (OCoLC)698163956