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Thermal properties of solids --- Hubbard model --- Modèle d'Hubbard --- High temperature superconductivity --- Hubbard model. --- Anyon superconductivity. --- Mathematical models. --- Mathematical models --- High temperature superconductivity - Mathematical models.

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Topology --- Quantum field theory --- Nuclear forces (Physics) --- 515.1 --- 530.19 --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Specifically nuclear forces --- Binding energy --- Nuclear physics --- Particles (Nuclear physics) --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Quantum field theory. --- Topology. --- Nuclear forces (Physics). --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- 515.1 Topology --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc

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Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as e

Noncommutative differential geometry. --- Fuzzy systems. --- Supersymmetry --- Unified theories --- Particles (Nuclear physics) --- Symmetry (Physics) --- Systems, Fuzzy --- System analysis --- Fuzzy logic --- Differential geometry, Noncommutative --- Geometry, Noncommutative differential --- Non-commutative differential geometry --- Infinite-dimensional manifolds --- Operator algebras --- Mathematics.