Knots and Primes: An Introduction to Arithmetic Topology (Paperback, 2, Second 2024)

Chapter 1. Introduction.- Chapter 2. Preliminaries - Fundamental Groups and Galois Groups.-Chapter 3.?Knots and Primes, 3-Manifolds and Number Rings.- Chapter 4.?Linking Numbers and Legendre Symbols.- Chapter 5. Decompositions of Knots and Primes.- Chapter 6.?Homology Groups and Ideal Class Groups I - Genus Theory.- Chapter 7.?Idelic Class Field Theory for 3-Manifolds and Number Fields.- Chapter 8.?Link Groups and Galois Groups with Restricted Ramification.- Chapter 9.?Milnor Invariants and Multiple Power Residue Symbols.- Chapter 10.?Alexander Modules and Iwasawa Modules.- Chapter 11.?Homology Groups and Ideal Class Groups II - Higher Order Genus Theory.- Chapter 12.?Homology Groups and Ideal Class Groups III - Asymptotic Formulas.- Chapter 13.?Torsions and the Iwasawa Main Conjecture.- Chapter 14.?Moduli Spaces of Representations of Knot and Prime Groups.- Chapter 15.?Deformations of Hyperbolic Structures and of p-Adic Ordinary Modular Forms.- Chapter 16.?Dijkgraaf-Witten Theory for 3-Manifolds and Number Rings.