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Cover: 9789819992546 | Knots and Primes | An Introduction to Arithmetic Topology | Morishita
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Knots and Primes
An Introduction to Arithmetic Topology
Taschenbuch von Masanori Morishita
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
The author is currently Professor at Kyushu University. He previously held positions at Kanazawa University.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2024
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xv
261 S.
78 s/w Illustr.
259 p. 78 illus.
ISBN-13: 9789819992546
ISBN-10: 9819992540
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Morishita, Masanori
Auflage: Second Edition 2024
Hersteller: Springer
Palgrave Macmillan
Springer Singapore
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 16 mm
Von/Mit: Masanori Morishita
Erscheinungsdatum: 28.05.2024
Gewicht: 0,423 kg
Artikel-ID: 128036401
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