Table of Contents: “... -- Chapter 9.Explicit non-perturbative derivations -- Chapter 10.Metric-axial-tensor (MAT) background -- Part V. Nonperturbative methods. (B) Index theorem -- Chapter 11.Geometry of anomalies -- Chapter 12.Anomalies as obstructions: the Atiyah-Singer family...”

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Table of Contents: “...Preliminaries on Crossed Products -- Besov Spaces for Isometric G-actions -- Quantum Differentiation and Index Theorems -- Duality for Toeplitz Extensions -- Applications to Solid State Systems....”

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Table of Contents: “...17. K-theory -- 17.1. Rings -- 17.2. Equivalence relations -- 17.3. Grothendieck group -- 17.4. Sum of vector bundles -- 17.5. K-theory -- 17.6. K-theory and topological insulators -- 17.7. The 2Z invariant -- 17.8. The Atiyah-Singer index theorem....”

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Table of Contents: “...-Singer index theorem...”

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Table of Contents: “... to Homotopy Theory -- Classical Chern-Simons Mechanics -- Semiclassical Quantization -- The "Maslov Anomaly" for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry's Phase -- Classical Geometric Phases: Foucault and Euler -- Berry Phase...”

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Table of Contents: “... to Homotopy Theory -- Classical Chern-Simons Mechanics -- Semiclassical Quantization -- The "Maslov Anomaly" for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry's Phase -- Classical Geometric Phases: Foucault and Euler -- Berry Phase...”

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Table of Contents: “...Introduction -- Elements of General Topology -- Algebraic Topology -- Homological Algebra -- Connections: Topology and Analysis -- The Atyiah Singer Index Theorem -- Universal Coefficient Theorems -- BV and BRST Quantization, Quantum Observables...”

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Table of Contents: “... to Homotopy Theory -- Classical Chern-Simons Mechanics -- Semiclassical Quantization -- The "Maslov Anomaly" for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry's Phase -- Classical Analogues to Berry's Phase -- Berry Phase...”

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Table of Contents: “... and their interrelations -- Index theorems for solid state systems -- Invariants as measurable quantities....”

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Table of Contents: “... -- 30. Maslov Anomaly and the Morse Index Theorem -- 31. Berry’s Phase -- 32. Classical Analogues to Berry’s Phase -- 33. Berry Phase and Parametric Harmonie Oscillator -- 34. Topological Phases in Planar Electrodynamics -- References....”

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Subject (ZB): “...Index theorems....”

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Subject (ZB): “...Atiyah-Singer index theorem....”

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Table of Contents: “... -- 4 Degeneracies -- 5 Equivariant Characteristic Classes -- 6 Loop Space -- 7 Example: Atiyah-Singer Index Theorem -- 8 Duistermaat-Heckman in Loop Space -- 9 General Integrable Models -- 10 Mathai-Quillen Formalism -- 11 Short Review of Morse Theory -- 12...”

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Subject (ZB): “...Index theorems -- Congresses....”

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Subject (ZB): “...Index theorems....”

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Table of Contents: “... and the Index Theorem -- 4.4 Gauge Anomalies -- 4.5 Regularization Methods -- 4.6 Ambiguities and Counterterms -- 4.7 Topological Interpretation of Non-Abelian Anomalies -- 4.8 Non-perturbative Anomalies -- 4.9 Non-linear ? Model Anomalies -- 4.10 The Wess-Zumino...”

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Subject (ZB): “...Index theorems....”

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