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Table of Contents: “...Introduction -- Basics -- Graph polynomials -- Quantum field theory -- One-loop integrals -- Iterated integrals -- Transformations of differential equations -- Multiple polylogarithms -- Nested sums -- Sector decomposition -- Hopf algebras, coactions...”

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Table of Contents: “...Instanton Counting and Localization -- Quiver Gauge Theory -- Supergroup Gauge Theory -- Seiberg-Witten Geometry -- Quantization of Geometry -- Operator Formalism of Gauge Theory -- Quiver W-Algebra -- Quiver Elliptic W-algebra. ....”

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Table of Contents: “...1 Fundamentals of the RWR View -- 2 Bohr's Breakthrough: Quantum Jumps, Quantum States and Transitions without Connections -- 3 "The Heisenberg Method": Algebra, Geometry, and Probability in Quantum Mechanics -- 4 Schrödinger's Great Guess: The Time...”

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Table of Contents: “... Cayley{Klein Geometries -- Chapter 16.Zernike system stems from free motion on the 3-sphere -- Chapter 17.W-algebras via Lax type operators -- Chapter 18.Color Algebraic Extension of Supersymmetric Quantum Mechanics -- Chapter 19.The Racah algebra and sln...”

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Table of Contents: “...Invitation: gravity, point particles, and group-valued momenta -- Gravity in 2+1 dimensions as a Chern-Simons theory -- Gravity in 3+1 dimensions, particles and topological limit -- Deformed classical particles: phase space and kinematics -- Hopf algebra...”

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Table of Contents: “... Algebra -- Quantum Entanglement Simulation Inspired by Tensor Network -- Summary....”

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Subject (ZB): “...Algebraic geometry....”

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Table of Contents: “... -- Algebraic Structure -- Orbifold Phenomenology -- String Unification -- Smooth Compactification -- Flavor Physics -- Other Constructions -- A. Useful Tables for Model Building....”

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Subject (ZB): “...Algebraic geometry....”

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Table of Contents: “...Acknowledgements -- Preface -- Part I: Tensor Algebra and Analysis -- 1: Linear spaces, vectors and tensors -- 2: Operations over tensors, metric tensor -- 3: Symmetric, skew(anti) symmetric tensors and determinants -- 4: Curvilinear coordinates, local...”

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Subject (ZB): “...Algebraic topology....”

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Subject (ZB): “...Hopf algebras....”

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Subject (ZB): “...Infinite dimensional Lie algebras....”

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Table of Contents: “... -- Charmonium Hadro-Production at HERA-B -- Finite Chern-Simons Matrix Model - Algebraic Approach -- Finite Chern-Simons Matrix Model - Algebraic Approach -- Expectations for Charged Higgs in CMS -- Expectations for Charged Higgs in CMS -- Heavy Ion Physics in CMS...”

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