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E-raamat: Intelligence Of Low Dimensional Topology 2006

Edited by (Univ Of Illinois At Chicago, Usa), Edited by (Osaka City Univ, Japan), Edited by (Hiroshima Univ, Japan), Edited by (Univ Of Tokyo, Japan), Edited by (Univ Of South Alabama, Usa)
  • Formaat: 400 pages
  • Sari: Series on Knots & Everything 40
  • Ilmumisaeg: 29-May-2007
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814475730
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  • Raamatukogudele
  • Formaat: 400 pages
  • Sari: Series on Knots & Everything 40
  • Ilmumisaeg: 29-May-2007
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814475730
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This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
Preface v
Organizing Committees vii
Ford domain of a certain hyperbolic 3-manifold whose boundary consists of a pair of once-punctured tori 1
H. Akiyoshi
Cohomology for self-distributivity in coalgebras 9
J.S. Carter and M. Saito
Toward an equivariant Khovanov homology 19
N. Chbili
Milnor numbers and the self delta classification of 2-string links 27
T. Fleming and A. Yasuhara
Some estimates of the Morse-Novikov numbers for knots and links 35
H. Goda
Obtaining string-minimizing, length-minimizing braid words for 2-bridge links 43
M. Hirasawa
Smoothing resolution for the Alexander—Conway polynomial 51
A. Ishii
Quandle cocycle invariants of torus links 57
M. Iwakiri
Prime knots with arc index up to 10 65
G.T. Jin, H. Kim, G.-S. Lee, J.H. Gong, H. Kim, H. Kim and S.A. Oh
p-adic framed braids and p-adic Markov traces 75
J. Juyumaya and S. Lambropoulou
Reidemeister torsion and Seifert surgeries on knots in homology 3-spheres 85
T. Kadokami
Miyazawa polynomials of virtual knots and virtual crossing numbers 93
N. Kamada
Quandles with good involutions, their homologies and knot invariants 101
S. Kamada
Finite type invariants of order 4 for 2-component links 109
T. Kanenobu
The Jones representation of genus 1 117
Y. Kasahara
Quantum topology and quantum information 123
L. Kauffman
The L-move and virtual braids 133
L. Kauffman and S. Lambropoulou
Limits of the HOMFLY polynomials of the figure-eight knot 143
K. Kawagoe
Conjectures on the braid index and the algebraic crossing number 151
K. Kawamuro
On the surface-link groups 157
A. Kawauchi
Enumerating 3-manifolds by a canonical order 165
A. Kawauchi and I. Tayama
On the existence of a surjective homomorphism between knot groups 173
T. Kitano and M. Suzuki
The volume of a hyperbolic simplex and iterated integrals 179
T. Kohno
Invariants of surface links in R4 via classical link invariants 189
S. Y. Lee
Surgery along Brunnian links and finite type invariants of integral homology spheres 197
J.-B. Meilhan
The Yamada polynomial for virtual graphs 205
Y. Miyazawa
Arithmetic topology after Hida theory 213
M. Morishita and Y. Terashima
Gap of the depths of leaves of foliations 223
H. Murai
Complex analytic realization of links 231
W.D. Neumann and A. Pichon
Achirality of spatial graphs and the Simon invariant 239
R. Nikkuni
The configuration space of a spider 245
J. O'Hara
Equivariant quantum invariants of the infinite cyclic covers of knot complements 253
T. Ohtsuki
What is a welded link? 263
C. Rourke
Higher-order Alexander invariants for homology cobordisms of a surface 271
T. Sakasai
Epimorphisms between 2-bridge knot groups from the view point of Markoff maps 279
M. Sakuma
Sheet numbers and cocycle invariants of surface-knots 287
S. Satoh
An infinite sequence of non-conjugate 4-braids representing the same knot of braid index 4 293
R. Shinjo
On tabulation of mutants 299
A. Stoimenow and T. Tanaka
A note on CI-moves 307
K. Tanaka
On applications of correction term to lens space 315
M. Tange
The Casson—Walker invariant and some strongly periodic link 323
Y. Tsutsumi
Free genus one knots with large Haken numbers 331
Y. Tsutsumi
Yamada polynomial and Khovanov cohomology 337
V. Vershinin and A. Vesnin
A note on limit values of the twisted Alexander invariant associated to knots 347
Y. Yamaguchi
Overtwisted open books and Stallings twist 355
R. Yamamoto
3-Manifolds and 4-dimensional surgery 361
M. Yamasaki
Cell-complexes for t-minimal surface diagrams with 4 triple points 367
T. Yashiro
An exotic rational surface without 1- or 3-handles 375
K. Yasui