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Primes and Knots.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kohno, Toshitake
Autor Corporativo: Japan-U.S. Mathematics Institute (Content Provider.)
Otros Autores: Morishita, Masanori
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2006.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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082 0 4 |a 512.7/4 
049 |a UAMI 
100 1 |a Kohno, Toshitake. 
245 1 0 |a Primes and Knots. 
246 3 |a Contemporary Mathematics 
246 3 |a Contemporary Mathematics, Volume 416 
246 3 |a Primes and knots: JAMI conference, knots and primes, March 8-16, 2003, Johns Hopkins University 
260 |a Providence :  |b American Mathematical Society,  |c 2006. 
300 |a 1 online resource (298 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Contemporary Mathematics ;  |v v. 416 
588 0 |a Print version record. 
505 0 |a Contents -- Preface -- Categorification of the skein module of tangles -- The double shuffle relations for p-adic multiple zeta values -- Galois p-groups unramified at p -- A survey -- On capitulation theorems for infinite groups -- Multiple zeta values and Grothendieck-TeichmÃ?ller groups -- Asymptotics of q-difference equations -- 1. Introduction -- 1.1. The goal -- 1.2. The colored Jones function -- 1.3. The Hyperbolic Volume Conjecture -- 1.4. q-difference equations -- 1.5. Asymptotics of differential equations with a parameter 
505 8 |a 1.6. Asymptotics of difference equations1.7. 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 
505 8 |a 5.2. A reduction to an Ñ?-difference equation of smaller degree5.3. 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 
505 8 |a The mapping class group acts reducibly on SU(n)-character varietiesPro-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 
505 8 |a Harmonic and equianharmonic equations in the Grothendieck-TeichmÃ?ller group, IIOn p-adic properties of the Witten-Reshetikhin-Turaev invariant -- Seiberg-Witten integrable systems and periods of rational elliptic surfaces -- On the finiteness of various Galois representations -- Some new-type equations in the Grothendieck-TeichmÃ?ller group arising from geometry of Mo,5 
546 |a English. 
504 |a Includes bibliographical references. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Algebraic number theory  |v Congresses. 
650 0 |a Low-dimensional topology  |v Congresses. 
650 6 |a Théorie algébrique des nombres  |v Congrès. 
650 6 |a Topologie de basse dimension  |v Congrès. 
650 7 |a Algebraic number theory  |2 fast 
650 7 |a Low-dimensional topology  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Morishita, Masanori. 
710 2 |a Japan-U.S. Mathematics Institute,  |e Content Provider. 
758 |i has work:  |a Primes and knots (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFMxTd3bcvYCyjvrbVxKq3  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |t Primes and knots.  |d Providence, Rhode Island : American Mathematical Society, [2006]  |h vii, 284 pages ; 26 cm.  |k Contemporary mathematics ; v. 416  |x 0271-4132  |z 9780821834565  |w (DLC) 10878715 
830 0 |a Contemporary Mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113260  |z Texto completo 
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