
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 |

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 |
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Book DetailsContemporary MathematicsVolume: 416; 2006; 284 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in low-dimensional topology, number theory, and relations between them.
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Table of Contents
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Articles
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Marta M. Asaeda, Józef H. Przytycki and Adam S. Sikora — Categorification of the skein module of tangles [ MR 2276132 ]
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Amnon Besser and Hidekazu Furusho — The double shuffle relations for $p$-adic multiple zeta values [ MR 2276133 ]
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Nigel Boston — Galois $p$-groups unramified at $p$—a survey [ MR 2276134 ]
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Kazuyuki Fuluta — On capitulation theorems for infinite groups [ MR 2276135 ]
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Hidekazu Furusho — Multiple zeta values and Grothendieck-Teichmüller groups [ MR 2276136 ]
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Stavros Garoufalidis and Jeffrey S. Geronimo — Asymptotics of $q$-difference equations [ MR 2276137 ]
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William M. Goldman — The mapping class group acts reducibly on ${\rm SU}(n)$-character varieties [ MR 2276138 ]
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Jonathan Hillman, Daniel Matei and Masanori Morishita — Pro-$p$ link groups and $p$-homology groups [ MR 2276139 ]
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Hitoshi Murakami — A quantum introduction to knot theory [ MR 2276140 ]
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Kunio Murasugi — Classical knot invariants and elementary number theory [ MR 2276141 ]
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Hiroaki Nakamura and Hiroshi Tsunogai — Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. II [ MR 2276142 ]
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L. Rozansky — On $p$-adic properties of the Witten-Reshetikhin-Turaev invariant [ MR 2276143 ]
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Yuji Shimizu — Seiberg-Witten integrable systems and periods of rational elliptic surfaces [ MR 2276144 ]
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Yuichiro Taguchi — On the finiteness of various Galois representations [ MR 2276145 ]
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Hiroshi Tsunogai — Some new-type equations in the Grothendieck-Teichmüller group arising from geometry of $\scr M_{0,5}$ [ MR 2276125 ]
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Additional Material
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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.
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 ]