From a view of localized link theory

Chapters in this book

1. Frontmatter I
2. Acknowledgements V
3. Preface VI
4. Table of contents VII
5. Variants on 3-manifold invariants 1
6. Fibered links which are band connected sum of two links 9
7. Geometries on 4-manifolds, Euler characteristic and elementary amenable groups 25
8. Satellites and surgery invariants 47
9. Hermitian forms on periodic modules and even- dimensional links 67
10. Unknotting, knotting by twists on disks and property (P) for knots in S³ 93
11. On the Z₂ Θ Z₂ branched coverings of spatial ^ - graphs 103
12. Geometric link homotopy invariants 117
13. Projective planes in 4-sphere obtained by deform-spinnings 125
14. Universal abelian coverings of spatial theta-curves 133
15. Special hermitian forms for Seifert surfaces of boundary links and algebraic invariants 143
16. Casson's invariant for branched cyclic covers over iterated torus knots 151
17. Symmetry-spun tori in the four-sphere 163
18. From a view of localized link theory 173
19. Adequate links and the Jones polynomial of unlinks 185
20. Chern-Simons theory, link invariants and quasi-Hopf algebras 195
21. A note on incompressible surfaces in solid tori and in lens spaces 213
22. Certain abelian subgroups of two-knot groups 231
23. Universal pretzel links 241
24. Knots, spin networks and 3-manifold invariants 271
25. The framed braid group and representations 289
26. On the decompositions of elliptic surfaces 299
27. Symmetry groups of prime knots up to 10 crossings 323
28. Tangle invariants and centre of the quantum group 341
29. A survey of skein modules of 3-manifolds 363
30. Representations of link groups 381
31. Applications of Morse theory to link theory 389
32. Signature invariants of homology bordism with applications to links 395
33. Lusternik-Schnirelmann category of a fibered knot complement with fiber a punctured torus 407
34. On 3-fold irregular branched coverings of Θ₄ curves in a 3-sphere 417
35. Spherical space forms and Dehn surgery 425
36. Some remarks on knots and links in spatial graphs 435
37. A topological invariant of spatial regular graphs 447
38. On local relations to determine the multi-variable Alexander polynomial of colored links 455
39. Almost identical link imitations and the skein polynomial 465
40. 3-manifolds that are unions of three handlebodies of genus at most 1 477
41. On a hierarchal Jones invariant 489
42. Canonical surgery on alternating link diagrams 543
43. State models for link invariants from the classical Lie groups 559
44. Geometric structures and monodromy representations 593
45. The problem of finiteness for Kleinian groups in 3-space 619
46. A calculus on links in the 3-sphere 625
47. List of Contributors 633
48. List of Participants 637
49. Backmatter 642