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Primes and knots / / Toshitake Kohno, Masanori Morishita, editors



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Titolo: Primes and knots / / Toshitake Kohno, Masanori Morishita, editors Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2006]
©2006
Descrizione fisica: 1 online resource (298 p.)
Disciplina: 512.7/4
Soggetto topico: Algebraic number theory
Low-dimensional topology
Persona (resp. second.): KohnoToshitake
MorishitaMasanori <1961->
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""1.6. Asymptotics of difference equations""""1.7. Asymptotics of difference equations with a parameter""; ""1.8. Statement of the results""; ""1.9. What's next?""; ""1.10. Acknowledgement""; ""2. Ñ?-difference equations""; ""2.1. Ñ?-difference equations""; ""2.2. Converting q-difference equations to Ñ?-difference equations""; ""3. Some linear algebra""; ""4. Existence of formal solutions""; ""4.1. An alternative formal series""; ""5. Proof of Theorem 3""; ""5.1. Existence of a solution corresponding to the eigenvalue of maximum magnitude""
""5.2. A reduction to an Ñ?-difference equation of smaller degree""""5.3. The solutions form a locally fundamental set""; ""6. Regular solutions and their asymptotics""; ""6.1. Regular solutions to Ñ?-difference equations""; ""6.2. Asymptotics of regular solutions of Ñ?-difference equations""; ""6.3. Asymptotics of regular solutions of q-difference equations""; ""7. Applications to Quantum Topology""; ""7.1. The A-polynomial of a knot and its noncommutative version""; ""7.2. Examples: The 31 and 41 knots""; ""References""
""The mapping class group acts reducibly on SU(n)-character varieties""""Pro-p link groups and p-homology groups""; ""Introduction""; ""1. Pro-p completion of a link group""; ""2. p-adic Milnor invariants""; ""3. Completed Alexander modules""; ""4. Galois module structure of the p-homology group of a p-fold cyclic branched cover""; ""5. Iwasawa type formulas for the p-homology groups of pm-fold cyclic branched covers""; ""A quantum introduction to knot theory""; ""Classical knot invariants and elementary number theory""
Titolo autorizzato: Primes and Knots  Visualizza cluster
ISBN: 0-8218-8095-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910814062103321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 416.