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Knots and primes [electronic resource] : an introduction to arithmetic topology / Masanori Morishita.

By: Material type: TextTextLanguage: English Original language: Japanese Series: UniversitextPublication details: London ; New York : Springer, c2012.Description: 1 online resource (xi, 191 p.) : illISBN:
  • 9781447121589 (electronic bk.)
  • 1447121589 (electronic bk.)
Uniform titles:
  • Musubime to sosu. English.
Subject(s): Genre/Form: Additional physical formats: Print version:: Knots and primes.LOC classification:
  • QA611 .M67313 2012eb
Contents:
1. Introduction -- 2. Preliminaries--fundamental groups and galois groups -- 3. Knots and primes, 3-manifolds and number rings -- 4. Linking numbers and legendre symbols -- 5. Decompositions of knots and primes -- 6. Homology groups and ideal class groups I--genus theory -- 7. Link groups and galois groups with restricted ramification -- 8. Milnor invariants and multiple residue symbols -- 9. Alexander modules and Iwasawa modules -- 10. Homology groups and ideal class groups II--higher order genus theory -- 11. Homology groups and ideal class groups III--asymptotic formulas -- 12. Torsions and the Iwasawa main conjecture -- 13. Moduli spaces of representations of knot and prime groups -- 14. Deformations of hyperbolic structures and p-Adic ordinary modular forms.
In: SpringerLink In: OhioLINK electronic book center (Online)
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
General Books General Books CUTN Central Library Sciences 510 (Browse shelf(Opens below)) 1 Available 7865

"The English language edition is based on the Japanese original edition: Musubime to Sosu by Masanori Morishita copyright Springer Japan 2009"--T.p. verso.

Description based on print version record.

Includes bibliographical references (p. 181-187) and index.

1. Introduction -- 2. Preliminaries--fundamental groups and galois groups -- 3. Knots and primes, 3-manifolds and number rings -- 4. Linking numbers and legendre symbols -- 5. Decompositions of knots and primes -- 6. Homology groups and ideal class groups I--genus theory -- 7. Link groups and galois groups with restricted ramification -- 8. Milnor invariants and multiple residue symbols -- 9. Alexander modules and Iwasawa modules -- 10. Homology groups and ideal class groups II--higher order genus theory -- 11. Homology groups and ideal class groups III--asymptotic formulas -- 12. Torsions and the Iwasawa main conjecture -- 13. Moduli spaces of representations of knot and prime groups -- 14. Deformations of hyperbolic structures and p-Adic ordinary modular forms.

Online version restricted to NUS staff and students only through NUSNET.

Mode of access: World Wide Web.

System requirements: Internet connectivity; World Wide Web browser.

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