Knots, '96

Name: Knots, '96
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Hardcover | 1 December 1996

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612 Pages

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22.86 x 16.51 x 3.81

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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.

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Preface
Contents of Lectures at Knots 96
Other Talks
On spatial graphs isotopic to planar embeddings	p. 1
The Conway polynomial of an algebraically split link	p. 23
Young diagrams, the Homfly skein of the annulus and unitary invariants	p. 31
Some new results in the theory of braids and generalised braids	p. 47
The arithmeticity of certain torus bundle cone 3-manifolds and hyperbolic surface bundle 3-manifolds; and an enhanced arithmeticity test	p. 73
Equivariant concordance of knots in S[superscript 3]	p. 81
Note on spatial graphs with good drawings	p. 91
Real representation spaces of 2-bridge knot groups and isometries of the hyperbolic plane	p. 99
Two-bridge knots with generalized unknotting number one	p. 109
Delta-unknotting operation and adaptability of certain graphs	p. 115
Planar surfaces in a handlebody and a theorem of Gordon-Reid	p. 123
Statistics of knots and some relations with random walks on hyperbolic plane	p. 147
The fundamental polygons of twist knots and the (-2, 3, 7) pretzel knot	p. 159
On the Tutte polynomial	p. 173
Delta unknotting operation and vertex homotopy of graphs in R[superscript 3]	p. 185
Floer homology for orbifolds and gauge theory knot invariants	p. 201
Knots and electricity	p. 213
Uniqueness of essential free tangle decompositions of knots and links	p. 231
Polynomial invariants of Legendrian links and their fronts	p. 239
Combinatorial analog of the Melvin-Morton conjecture	p. 257
A strand passage metric for topoisomerase action	p. 267
Algebraic topology based on knots: an introduction	p. 279
Quantum SU(3) invariants derived from the linear skein theory	p. 299
Invariant trace fields and commensurability of hyperbolic 3-manifolds	p. 309
Every 2-link with two components is link-homotopic to the trivial 2-link	p. 319
Alexander invariant and twisting operation	p. 327
Turaev-Viro modules of satellite knots	p. 337
On the invariants of lens knots	p. 365
The crossing number of alternating link diagrams on a surface	p. 377
Minimal genus Seifert surfaces for alternating links	p. 383
Seifert complex for links and 2-variable Alexander matrices	p. 395
Kauffman polynomials as Vassiliev link invariants	p. 411
Shortest vertical geodesics of manifolds obtained by hyperbolic Dehn surgery on the Whitehead link	p. 433
Energy of knots in a 3-manifold; the spherical and the hyperbolic cases	p. 449
A condition for a 3-manifold to be a knot exterior	p. 465
Computer programs for knot tabulation	p. 479
Homeomorphisms of a 3-dimensional handlebody standardly embedded in S[superscript 3]	p. 493
Framed link diagrams of open 3-manifolds	p. 515
Open 3-manifolds with infinitely many knot-surgery descriptions	p. 539
Some Seifert 3-manifolds which decompose S[superscript 4] as a twisted double	p. 545
On simply knotted tori in S[superscript 4] II	p. 551
Hyperbolic three-manifolds and the four-color theorem	p. 569
Representation of mapping class groups via the universal perturbative invariant	p. 573
List of Participants	p. 588
Table of Contents provided by Blackwell. All Rights Reserved.

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Hardcover

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