Knots and Primes

An Introduction to Arithmetic Topology

Authors:

ISBN: 978-1-4471-2157-2 (Print) 978-1-4471-2158-9 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XI

  2. No Access

    Book Chapter

    Pages 1-7

    Introduction

  3. No Access

    Book Chapter

    Pages 9-48

    Preliminaries—Fundamental Groups and Galois Groups

  4. No Access

    Book Chapter

    Pages 49-53

    Knots and Primes, 3-Manifolds and Number Rings

  5. No Access

    Book Chapter

    Pages 55-60

    Linking Numbers and Legendre Symbols

  6. No Access

    Book Chapter

    Pages 61-68

    Decompositions of Knots and Primes

  7. No Access

    Book Chapter

    Pages 69-76

    Homology Groups and Ideal Class Groups I—Genus Theory

  8. No Access

    Book Chapter

    Pages 77-84

    Link Groups and Galois Groups with Restricted Ramification

  9. No Access

    Book Chapter

    Pages 85-109

    Milnor Invariants and Multiple Residue Symbols

  10. No Access

    Book Chapter

    Pages 111-124

    Alexander Modules and Iwasawa Modules

  11. No Access

    Book Chapter

    Pages 125-139

    Homology Groups and Ideal Class Groups II—Higher Order Genus Theory

  12. No Access

    Book Chapter

    Pages 141-149

    Homology Groups and Ideal Class Groups III—Asymptotic Formulas

  13. No Access

    Book Chapter

    Pages 151-159

    Torsions and the Iwasawa Main Conjecture

  14. No Access

    Book Chapter

    Pages 161-169

    Moduli Spaces of Representations of Knot and Prime Groups

  15. No Access

    Book Chapter

    Pages 171-179

    Deformations of Hyperbolic Structures and p-Adic Ordinary Modular Forms

  16. Back Matter

    Pages 181-191