Topics in Knot Theory

Front Matter....Pages i-xiv
Knot Projections and Knot Coverings....Pages 1-14
Knots and Knot Spaces....Pages 15-23
Knot Groups....Pages 25-31
An Introduction to Species and the Rack Space....Pages 33-55
Some Remarks on the Braid-Permutation Group....Pages 57-68
Introduction to Topological Imitations of (3,1)-Dimensional Manifold Pairs....Pages 69-83
A Wild Variation of Artin’s Braids....Pages 85-106
Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups....Pages 107-155
Classical Numerical Invariants in Knot Theory....Pages 157-194
The Quest for a Knot with Trivial Jones Polynomial: Diagram Surgery and the Temperley-Lieb Algebra....Pages 195-210
Twisted Topological Invariants Associated with Representations....Pages 211-227
On the Alexander and Jones Polynomial....Pages 229-257
Hyperbolic 3-Dimensional Orbifolds....Pages 259-268
Irregular Dihedral Branched Coverings of Knots....Pages 269-276
2-Dimensional Braids and Chart Descriptions....Pages 277-287
On Links Embedded into Surfaces of Heegaard Splittings of S 3 ....Pages 289-303
A Search for Kernels of Burau Representations....Pages 305-317
The Witten—Reshetikhin—Turaev invariant for three—manifolds....Pages 319-347
Back Matter....Pages 349-353