The outcome of a close collaboration between mathematicians and mathematical physicists, these Lecture Notes present the foundations of A. Connes noncommutative geometry, as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.
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The outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.
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The aim of the following note is to give a short introduction to the notions of curvature and Yang-Mills functional for vector potentials ( "case " ) and for connections on Hermitian finitely generated projective modules ("case "). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
real spectral triple, spectral action, junk ideal, spectral triples, spinor bundle, differential algebra, heat kernel, trace formula, vector bundle Key Phrases - Capitalized Phrases (CAPs): (learn more)
Karen Elsner, Wend Werner, Holger Neumann, Ryszard Nest, Florian Scheck, Ilolger Neumann New!
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The aim of the following note is to give a short introduction to the notions of curvature and Yang-Mills functional for vector potentials ( "case " ) and for connections on Hermitian finitely generated projective modules ("case "). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
real spectral triple, spectral action, junk ideal, spectral triples, spinor bundle, differential algebra, heat kernel, trace formula, vector bundle Key Phrases - Capitalized Phrases (CAPs): (learn more)
Karen Elsner, Wend Werner, Holger Neumann, Ryszard Nest, Florian Scheck, Ilolger Neumann New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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This book cites 36
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- Nanoscale Spectroscopy and Its Applications to Semiconductor Research by Y. Watanabe in Back Matter
- Translation Group and Particle Representations in Quantum Field Theory (Lecture Notes in Physics Monographs) by Hans-Jürgen Borchers in Back Matter
- Ten Physical Applications of Spectral Zeta Functions (Lecture Notes in Physics Monographs) by Emilio Elizalde in Back Matter
- Quantum Optics by Marlan O. Scully in Back Matter
- Nonextensive Statistical Mechanics and Its Applications (Lecture Notes in Physics) by Sumiyoshi Abe in Back Matter
See all 36 books this book cites
- Space Plasma Simulation (Lecture Notes in Physics) by Jörg Büchner in Back Matter
- Rubber and Rubber Balloons: Paradigms of Thermodynamics (Lecture Notes in Physics) by Ingo Müller in Back Matter
- Turbulence and Magnetic Fields in Astrophysics (Lecture Notes in Physics) by Edith Falgarone in Back Matter
- Current Trends in Relativistic Astrophysics: Theoretical, Numerical, Observational (Lecture Notes in Physics) by Leonardo Fernández-Jambrina in Back Matter
- The Sun's Surface and Subsurface: Investigating Shape and Irradiance (Lecture Notes in Physics) (v. 599) by Jean-Pierre Rozelot in Back Matter
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