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Softcover ISBN:  9780821834565 
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AMS Member Price:  $204.00 $154.00 
Softcover ISBN:  9780821834565 
Product Code:  CONM/416 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821880951 
Product Code:  CONM/416.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821834565 
eBook ISBN:  9780821880951 
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 DetailsContemporary MathematicsVolume: 416; 2006; 284 ppMSC: Primary 11; 57
This volume deals systematically with connections between algebraic number theory and lowdimensional topology. Of particular note are various inspiring interactions between number theory and lowdimensional 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.
ReadershipGraduate students and research mathematicians interested in lowdimensional 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 GrothendieckTeichmüller 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 GrothendieckTeichmüller group. II [ MR 2276142 ]

L. Rozansky — On $p$adic properties of the WittenReshetikhinTuraev invariant [ MR 2276143 ]

Yuji Shimizu — SeibergWitten integrable systems and periods of rational elliptic surfaces [ MR 2276144 ]

Yuichiro Taguchi — On the finiteness of various Galois representations [ MR 2276145 ]

Hiroshi Tsunogai — Some newtype equations in the GrothendieckTeichmüller group arising from geometry of $\scr M_{0,5}$ [ MR 2276125 ]


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This volume deals systematically with connections between algebraic number theory and lowdimensional topology. Of particular note are various inspiring interactions between number theory and lowdimensional 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.
Graduate students and research mathematicians interested in lowdimensional 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 GrothendieckTeichmüller 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 GrothendieckTeichmüller group. II [ MR 2276142 ]

L. Rozansky — On $p$adic properties of the WittenReshetikhinTuraev invariant [ MR 2276143 ]

Yuji Shimizu — SeibergWitten integrable systems and periods of rational elliptic surfaces [ MR 2276144 ]

Yuichiro Taguchi — On the finiteness of various Galois representations [ MR 2276145 ]

Hiroshi Tsunogai — Some newtype equations in the GrothendieckTeichmüller group arising from geometry of $\scr M_{0,5}$ [ MR 2276125 ]