Knots and primes : an introduction to arithmetic topology
This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Co...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2012. |
| Series: | Universitext
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| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Titre provenant de la page de titre du document numérique Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Knots and primes, an introduction to arithmetic topology, Masanori Morishita, 2012, London, Springer, 1 vol. (XI-191 p.), Universitext, 978-1-447-12157-2 • Knots and primes, an introduction to arithmetic topology, Masanori Morishita, 2012, London, Springer, 1 vol. (XI-191 p.), Universitext, 978-1-447-12157-2 • Knots and Primes, Texte imprimé, 9781447121596 |
Table des matières:
- Preliminaries - Fundamental Groups and Galois Groups Knots and Primes, 3-Manifolds and Number Rings Linking Numbers and Legendre Symbols Decompositions of Knots and Primes Homology Groups and Ideal Class Groups I - Genus Theory Link Groups and Galois Groups with Restricted Ramification Milnor Invariants and Multiple Power Residue Symbols Alexander Modules and Iwasawa Modules Homology Groups and Ideal Class Groups II - Higher Order Genus Theory Homology Groups and Ideal Class Groups III - Asymptotic Formulas Torsions and the Iwasawa Main Conjecture Moduli Spaces of Representations of Knot and Prime Groups Deformations of Hyperbolic Structures and of p-adic Ordinary Modular Forms.