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...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Έκδοση: | 1st ed. 2012. |
| Σειρά: | Universitext
|
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
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 |
| LEADER | 04121nam a22004577a 4500 | ||
|---|---|---|---|
| 001 | 973770 | ||
| 008 | 120110q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN157507718 | ||
| 020 | |a 9781447121589 |z 9781447121589 | ||
| 020 | |a 9781447121589 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 084 | |a 11Rxx. 2010 | ||
| 084 | |a 11Sxx. 2010 | ||
| 084 | |a 57M25. 2010 | ||
| 100 | 1 | |a Morishita, Masanori, |d 1961- | |
| 245 | 1 | 0 | |a Knots and primes : |b an introduction to arithmetic topology |c Masanori Morishita. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Titre provenant de la page de titre du document numérique | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 181-187 de l'édition imprimée. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry. | ||
| 650 | |a Théorie des nombres algébriques | ||
| 650 | |a Topologie de basse dimension | ||
| 765 | 0 | |t Musubime to Sosu |d cop. 2009 | |
| 776 | 0 | |0 159784298 |t Knots and primes |o an introduction to arithmetic topology |f Masanori Morishita |d 2012 |c London |n Springer |p 1 vol. (XI-191 p.) |s Universitext |z 978-1-447-12157-2 | |
| 776 | 0 | |0 159784298 |t Knots and primes |o an introduction to arithmetic topology |f Masanori Morishita |d 2012 |c London |n Springer |p 1 vol. (XI-191 p.) |s Universitext |z 978-1-447-12157-2 | |
| 776 | 0 | |t Knots and Primes |b Texte imprimé |z 9781447121596 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4471-2158-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-BPXNM3WM-8 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750607777 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4471-2158-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753967391 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4471-2158-9 |z Accès INSA CVL | |
| 997 | |0 973770 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||