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Higher structures in geometry and physics

Overview of attention for book
Cover of 'Higher structures in geometry and physics'

Table of Contents

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    Book Overview
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    Chapter 1 Topics in Algebraic Deformation Theory
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    Chapter 2 Origins and Breadth of the Theory of Higher Homotopies
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    Chapter 3 The Deformation Philosophy, Quantization and Noncommutative Space-Time Structures
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    Chapter 4 Differential Geometry of Gerbes and Differential Forms
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    Chapter 5 Symplectic Connections of Ricci Type and Star Products
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    Chapter 6 Effective Batalin–Vilkovisky Theories, Equivariant Configuration Spaces and Cyclic Chains
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    Chapter 7 Noncommutative Calculus and the Gauss–Manin Connection
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    Chapter 8 The Lie Algebra Perturbation Lemma
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    Chapter 9 Twisting Elements in Homotopy G-Algebras
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    Chapter 10 Homological Perturbation Theory and Homological Mirror Symmetry
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    Chapter 11 Categorification of Acyclic Cluster Algebras: An Introduction
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    Chapter 12 Poisson and Symplectic Functions in Lie Algebroid Theory
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    Chapter 13 The Diagonal of the Stasheff Polytope
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    Chapter 14 Permutahedra, HKR Isomorphism and Polydifferential Gerstenhaber–Schack Complex
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    Chapter 15 Applications de la bi-quantification à la théorie de Lie
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    Chapter 16 Higher Homotopy Hopf Algebras Found: A Ten Year Retrospective
Attention for Chapter 7: Noncommutative Calculus and the Gauss–Manin Connection
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