Class Field Theory and the Mkr Dictionary for Knots
نویسندگان
چکیده
Contents 1. Introduction 1 2. Some basic facts 2 2.1. Results from algebraic number theory 3 2.2. Results from homological algebra 4 2.3. Ramification theory and the Artin representation 7 3. The perspective of curves 10 3.1. Jacobians and their generalizations 10 3.2. Class field theory 14 3.3. The Artin representation and algebraic curves 15 4. The perspective of arithmetic 16 4.1. Galois cohomology 16 4.2. Local class field theory 18 4.3. Global class field theory 24 5. Arithmetic topology 32 5.1. Basic constructions 32 5.2. The MKR dictionary 32 References 35
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