Primes and Knots (Contemporary Mathematics)

Primes and Knots (Contemporary Mathematics)

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Description

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.

Contents

Categorification of the skein module of tangles by M. M. Asaeda, J. H. Przytycki, and A. S. Sikora The double shuffle relations for $p$-adic multiple zeta values by A. Besser and H. Furusho Galois $p$-groups unramified at $p$--A survey by N. Boston On capitulation theorems for infinite groups by K. Fuluta Multiple zeta values and Grothendieck-Teichmuller groups by H. Furusho Asymptotics of $q$-difference equations by S. Garoufalidis and J. S. Geronimo The mapping class group acts reducibly on $SU(n)$-character varieties by W. M. Goldman Pro-$p$ link groups and $p$-homology groups by J. Hillman, D. Matei, and M. Morishita A quantum introduction to knot theory by H. Murakami Classical knot invariants and elementary number theory by K. Murasugi Harmonic and equianharmonic equations in the Grothendieck-Teichmuller group, II by H. Nakamura and H. Tsunogai On $p$-adic properties of the Witten-Reshetikhin-Turaev invariant by L. Rozansky Seiberg-Witten integrable systems and periods of rational elliptic surfaces by Y. Shimizu On the finiteness of various Galois representations by Y. Taguchi Some new-type equations in the Grothendieck-Teichmuller group arising from geometry of $\mathcal{M} {0,5}$ by H. Tsunogai.

Product Details

  • ISBN13: 9780821834565
  • Format: Paperback
  • ID: 9780821834565
  • ISBN10: 0821834568

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