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Primes and Knots
 
Edited by: Toshitake Kohno University of Tokyo, Tokyo, Japan
Masanori Morishita Kyushu University, Fukuoka, Japan
Primes and Knots
Softcover ISBN:  978-0-8218-3456-5
Product Code:  CONM/416
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8095-1
Product Code:  CONM/416.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3456-5
eBook: ISBN:  978-0-8218-8095-1
Product Code:  CONM/416.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Primes and Knots
Click above image for expanded view
Primes and Knots
Edited by: Toshitake Kohno University of Tokyo, Tokyo, Japan
Masanori Morishita Kyushu University, Fukuoka, Japan
Softcover ISBN:  978-0-8218-3456-5
Product Code:  CONM/416
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8095-1
Product Code:  CONM/416.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3456-5
eBook ISBN:  978-0-8218-8095-1
Product Code:  CONM/416.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4162006; 284 pp
    MSC: Primary 11; 57

    This volume deals systematically with connections between algebraic number theory and low-dimensional topology. Of particular note are various inspiring interactions between number theory and low-dimensional topology discussed in most papers in this volume. For example, quite interesting are the use of arithmetic methods in knot theory and the use of topological methods in Galois theory. Also, expository papers in both number theory and topology included in the volume can help a wide group of readers to understand both fields as well as the interesting analogies and relations that bring them together.

    Readership

    Graduate students and research mathematicians interested in low-dimensional topology, number theory, and relations between them.

  • Table of Contents
     
     
    • Articles
    • Marta M. Asaeda, Józef H. Przytycki and Adam S. Sikora — Categorification of the skein module of tangles [ MR 2276132 ]
    • Amnon Besser and Hidekazu Furusho — The double shuffle relations for $p$-adic multiple zeta values [ MR 2276133 ]
    • Nigel Boston — Galois $p$-groups unramified at $p$—a survey [ MR 2276134 ]
    • Kazuyuki Fuluta — On capitulation theorems for infinite groups [ MR 2276135 ]
    • Hidekazu Furusho — Multiple zeta values and Grothendieck-Teichmüller groups [ MR 2276136 ]
    • Stavros Garoufalidis and Jeffrey S. Geronimo — Asymptotics of $q$-difference equations [ MR 2276137 ]
    • William M. Goldman — The mapping class group acts reducibly on ${\rm SU}(n)$-character varieties [ MR 2276138 ]
    • Jonathan Hillman, Daniel Matei and Masanori Morishita — Pro-$p$ link groups and $p$-homology groups [ MR 2276139 ]
    • Hitoshi Murakami — A quantum introduction to knot theory [ MR 2276140 ]
    • Kunio Murasugi — Classical knot invariants and elementary number theory [ MR 2276141 ]
    • Hiroaki Nakamura and Hiroshi Tsunogai — Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. II [ MR 2276142 ]
    • L. Rozansky — On $p$-adic properties of the Witten-Reshetikhin-Turaev invariant [ MR 2276143 ]
    • Yuji Shimizu — Seiberg-Witten integrable systems and periods of rational elliptic surfaces [ MR 2276144 ]
    • Yuichiro Taguchi — On the finiteness of various Galois representations [ MR 2276145 ]
    • Hiroshi Tsunogai — Some new-type equations in the Grothendieck-Teichmüller group arising from geometry of $\scr M_{0,5}$ [ MR 2276125 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4162006; 284 pp
MSC: Primary 11; 57

This volume deals systematically with connections between algebraic number theory and low-dimensional topology. Of particular note are various inspiring interactions between number theory and low-dimensional topology discussed in most papers in this volume. For example, quite interesting are the use of arithmetic methods in knot theory and the use of topological methods in Galois theory. Also, expository papers in both number theory and topology included in the volume can help a wide group of readers to understand both fields as well as the interesting analogies and relations that bring them together.

Readership

Graduate students and research mathematicians interested in low-dimensional topology, number theory, and relations between them.

  • Articles
  • Marta M. Asaeda, Józef H. Przytycki and Adam S. Sikora — Categorification of the skein module of tangles [ MR 2276132 ]
  • Amnon Besser and Hidekazu Furusho — The double shuffle relations for $p$-adic multiple zeta values [ MR 2276133 ]
  • Nigel Boston — Galois $p$-groups unramified at $p$—a survey [ MR 2276134 ]
  • Kazuyuki Fuluta — On capitulation theorems for infinite groups [ MR 2276135 ]
  • Hidekazu Furusho — Multiple zeta values and Grothendieck-Teichmüller groups [ MR 2276136 ]
  • Stavros Garoufalidis and Jeffrey S. Geronimo — Asymptotics of $q$-difference equations [ MR 2276137 ]
  • William M. Goldman — The mapping class group acts reducibly on ${\rm SU}(n)$-character varieties [ MR 2276138 ]
  • Jonathan Hillman, Daniel Matei and Masanori Morishita — Pro-$p$ link groups and $p$-homology groups [ MR 2276139 ]
  • Hitoshi Murakami — A quantum introduction to knot theory [ MR 2276140 ]
  • Kunio Murasugi — Classical knot invariants and elementary number theory [ MR 2276141 ]
  • Hiroaki Nakamura and Hiroshi Tsunogai — Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. II [ MR 2276142 ]
  • L. Rozansky — On $p$-adic properties of the Witten-Reshetikhin-Turaev invariant [ MR 2276143 ]
  • Yuji Shimizu — Seiberg-Witten integrable systems and periods of rational elliptic surfaces [ MR 2276144 ]
  • Yuichiro Taguchi — On the finiteness of various Galois representations [ MR 2276145 ]
  • Hiroshi Tsunogai — Some new-type equations in the Grothendieck-Teichmüller group arising from geometry of $\scr M_{0,5}$ [ MR 2276125 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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