| Description |
1 online resource (xv, 362 pages) : color portraits |
| Series |
Progress in mathematics ; v. 287 |
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Progress in mathematics (Boston, Mass.) ; v. 287.
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| 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 |
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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 à la théorie 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 |
| Bibliography |
Includes bibliographical references |
| Notes |
Articles in English and French |
|
Print version record |
| Subject |
Algebra.
|
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algebra.
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MATHEMATICS -- Geometry -- Algebraic.
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Álgebra
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Algebra
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| Genre/Form |
Festschriften
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Festschriften.
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| Form |
Electronic book
|
| Author |
Cattaneo, A. S. (Alberto S.)
|
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Giaquinto, Anthony
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|
Xu, Ping
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| ISBN |
9780817647353 |
|
081764735X |
|
9780817647346 |
|
0817647341 |
|
