This is the proceedings of an international workshop on knot theory held in July 1996 at Waseda University Conference Centre. It was organized by the International Research Institute of Mathematical Society of Japan. The workshop was attended by nearly 180 mathematicians from Japan and 14 other countries. Most of them were specialists in knot theory. The volume contains 43 papers, which deal with significant current research in knot theory, low-dimensional topology and related topics. The volume includes papers by the following invited speakers: G. Burde, T. Deguchi, R. Fenn, L.H. Kauffman, J. Levine, J.M. Montesinos(-A), H.R. Morton, K. Murasugi, T. Soma and D.W. Sumners.
Author(s): S. Suzuki
Publisher: WS
Year: 1997
Language: English
Pages: 607
Title ......Page 1
Copyricht ......Page 2
Preface ......Page 3
Table of Contents ......Page 5
Contents of Lectures at Knots 96 ......Page 8
Other Talks ......Page 9
H. Inaba and T. Soma On spatial graphs isotopic to planar embeddings ......Page 11
J. Levine The Conway polynomial of an algebraically split link ......Page 33
H. R. Morton and A. K. Aiston Young diagrams, the Homfly skein of the annulus and unitary invariants ......Page 41
R. Fenn Some new results in the theory of braids and generalised braids ......Page 57
H. M. Hilden, M-T. Lozano, and J. M. Montesinos-A. The arithmeticity of certain torus bundle cone 3-manifolds and hyperbolic surface bundle 3-manifolds; and an enhanced arithmeticity test ......Page 83
S. Naik Equivariant concordance of knots in S3 ......Page 91
S. Negami and T. Tsukamoto Note on spatial graphs with good drawings ......Page 101
G. Bwrde Real representation spaces of 2-bridge knot groups and isometries of the hyperbolic plane ......Page 109
Y. Uchida Two-bridge knots with generalized unknotting number one ......Page 119
A. Yasuhara Delta-unknotting operation and adaptability of certain graphs ......Page 125
K. Morimoto Planar surfaces in a handlebody and a theorem of Gordon-Reid ......Page 133
M. Monastyrsky and S. Nechaev Statistics of knots and some relations with random walks on hyperbolic plane ......Page 157
S. Boyer, T. Mattman and X. Zhang The fundamental polygons of twist knots and the (-2,3,7) pretzel knot ......Page 169
B. I. Kurpita and K. Murasugi On the Tutte polynomial ......Page 183
T. Motohashi and K. Taniyama Delta unknotting operation and vertex homotopy of graphs in R3 ......Page 195
O. Collin Floer homology for orbifolds and gauge theory knot invariants ......Page 211
L. H. Kauffman Knots and electricity ......Page 223
M. Ozawa Uniqueness of essential free tangle decompositions of knots and links ......Page 241
S. Chmutov and V. Goryunov Polynomial invariants of Legendrian links and their fronts ......Page 249
S. Chmutov Combinatorial analog of the Melvin-Morton conjecture ......Page 267
I. D. Darcy and D. W. Sumners A strand passage metric for topoisomerase action ......Page 277
J. H. Przytycki Algebraic topology based on knots: an introduction ......Page 289
H. A. Miyazawa and M. Okamoto Quantum 5(7(3) invariants derived from the linear skein theory ......Page 309
H. Yoshida Invariant trace fields and commensurability of hyperbolic 3-manifolds ......Page 319
F. Hosokawa and S- Suzuki Every 2-link with two components is link-homotopic to the trivial 2-link ......Page 329
Y. Nakanishi Alexander invariant and twisting operation ......Page 337
P. M. Gtimer Turaev-Viro modules of satellite knots ......Page 347
N. Chbili On the invariants of lens knots ......Page 375
N. Kamada The crossing number of alternating link diagrams on a surface ......Page 387
M. Hirasawa and M. Sakuma Minimal genus Seifert surfaces for alternating links ......Page 393
T. Kadokami Seifert complex for links and 2-variable Alexander matrices ......Page 405
T. Kanenobu Kauffman polynomials as Vassiliev link invariants ......Page 421
H. Akiyoshi, Y. Nakagawa and M. Sakuma Shortest vertical geodesies of manifolds obtained by hyperbolic Dehn surgery on the Whitehead link ......Page 443
J. O'Hara Energy of knots in a 3-manifold; the spherical and the hyperbolic cases ......Page 459
T. Sakai A condition for a 3-manifold to be a knot exterior ......Page 475
C. Aneziris Conputer programs for knot tabulation ......Page 489
S. Hirose Homeomorphisms of a 3-dimensional handlebody standardly embedded in S3 ......Page 503
J. Hoste Framed link diagrams of open 3-manifolds ......Page 525
J. Hoste Open 3-manifolds with infinitely many knot-surgery descriptions ......Page 549
Y. Yamada Some Seifert 3-manifolds which deconpose S4 as a twisted double ......Page 555
A. Shima On simply knotted tori in S4 II ......Page 561
S. Yamada Hyperbolic three-manifolds and the four-color theorem ......Page 579
J. Murakami Representation of mapping class groups via the universal perturbative invariant ......Page 583
List of Participants ......Page 597
