Differential Geometric Methods in Theoretical Physics

Table of Contents

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   Book Overview
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   Chapter 41 Higgs fields and superconnections
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   Chapter 42 Noncommutative differential geometry, quantum mechanics and gauge theory
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   Chapter 43 Introduction to non-commutative geometry and Yang-Mills model-building
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   Chapter 44 II. Gauge-field model-building via non-commutative differential geometry
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   Chapter 45 Differential Geometric Methods in Theoretical Physics
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   Chapter 46 Tensor Operator Structures in Quantum Unitary Groups
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   Chapter 47 Quantum groups and quantum complete integrability: Theory and experiment
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   Chapter 48 Some ideas and results on integrable nonlinear evolution systems
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    Chapter 49 An algebraic characterization of complete integrability for Hamiltonian systems
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    Chapter 50 Integrable lattice models and their scaling limits QFT and CFT
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    Chapter 51 Quantum groups, Riemann surfaces and conformal field theory
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    Chapter 52 Some physical applications of category theory
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    Chapter 53 From poisson groupoids to quantum groupoids and back
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    Chapter 54 Quantization on Kähler manifolds
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    Chapter 55 A new class of infinite-dimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems
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    Chapter 56 Exchange Algebra in the Conformal Affine sl 2 Toda Field Theory
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    Chapter 57 Some properties of p-lines
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    Chapter 58 Breaking of supersymmetry through anomalies in composite spinor operators
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    Chapter 59 Conformal field theory and moduli spaces of vector bundles over variable Riemann surfaces
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    Chapter 60 Instanton homology
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    Chapter 61 W- geometry
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    Chapter 62 Connections between CFT and topology via Knot theory
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    Chapter 63 Stochastic calculus in superspace and supersymmetric Hamiltonians
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    Chapter 64 Geometric models and the modulli spaces for string theories
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    Chapter 65 Supersymmetric products of SUSY-curves °
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    Chapter 66 Classical superspaces and related structures
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    Chapter 67 Remarks on the differential identities in Schouten-Nijenhuis algebra
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    Chapter 68 Generic irreducible representations of classical Lie superalgebras
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    Chapter 69 Krichever construction of solutions to the super KP hierarchies
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    Chapter 70 The structure of supersymplectic supermanifolds
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    Chapter 71 Gauge fixing: Geometric and probabilistic aspects of yang-mills gauge theories
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    Chapter 72 A renormalizable theory of quantum gravity
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    Chapter 73 Third order nonlinear Hamiltonian systems: Some remarks on the the action-angle transformation
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    Chapter 74 Tensor products of q p = 1 quantum groups and WZW fusion rules
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    Chapter 75 The modular group and super-KMS functionals
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    Chapter 76 New quantum representation for gravity and Yang-Mills theory
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    Chapter 77 Geometric quantization of the five-dimensional Kepler problem
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    Chapter 78 Structure functions on the usual and exotic symplectic and periplectic supermanifolds
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    Chapter 79 Symbols alias generating functionals — a supergeometric point of view
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    Chapter 80 Sheaves of graded Lie algebras over variable Riemann surfaces and a paired Weil-Petersson inner product