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This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork.
Gauge fields (Physics) --- Quantum groups. --- Quantum field theory. --- Quantum gravity. --- Hopf algebras. --- Algebras, Hopf --- Algebraic topology --- Gravity, Quantum --- General relativity (Physics) --- Gravitation --- Quantum theory --- Relativistic quantum field theory --- Field theory (Physics) --- Relativity (Physics) --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Group theory --- Mathematical physics --- Quantum field theory --- Fields, Gauge (Physics) --- Gage fields (Physics) --- Gauge theories (Physics) --- Symmetry (Physics)
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