Dehn surgery on arborescent knots

Journal of Differential Geometry

Volumn 43, Issue 1, 1996, Pages 171-197

  Wu, Ying Qing ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0029680263     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214457901     Document Type: Article

References (30)

1. M. Brittenham, ‘An’ essential lamination in the generalized Seifrt-Weber space, Preprint.
2. J. Conway, An enumeration of knots and links, and some of their algebraic properties, Computational problems in abstract algebra, Pergamon, Oxford, 1970, 329-358.
3. M. Culler, C. Gordon, J. Luecke & P. Shalen, Dehn surgery on knots, Ann. of Math. 125 (1987) 237-300.
4. C. Delman, Essential laminations and Dehn surgery on 2-bridge knots, Topology Appl. 63 (1995) 201-221.
5. C. Delman, Constructing essential laminations which survive all Dehn-surgeries, Preprint.
6. M. Eudave-Munoz, Band sums of links which yield composite links. The cabling conjecture for strongly invertible knots, Trans. Amer. Math. Soc. 330 (1992) 463-501.
7. D. Gabai, Genera of the arborescent links, Mem. Amer. Math. Soc. 339 (1986) 1-98.
8. D. Gabai, Surgery on knots in solid tori, Topology 28 (1989) 1-6.
9. D. Gabai & U. Oertel, Essential laminations in 3-manifolds, Ann. of Math. 130 (1989) 41-73.
10. C. Gordon, On primitive sets of loops in the boundary of a han-dlebody, Topology Appl. 27 (1987) 285-299.
11. C. Gordon & J. Luecke, Knots are determined by their complements, J. Amer. Math. Soc.2 (1989) 371-415.
12. A. Hatcher, On the boundary curves of incompressible surfaces, Pacific J. Math. 99 (1982) 373-377.
13. A. Hatcher, Some examples of essential laminations in 3-manifolds, Ann. Inst. Fourier (Grenoble) 42 (1992) 313-325.
14. A. Hatcher & U. Oertel, Boundary slopes for Montesinos knots, Topology 28 (1989) 453-480.
15. A. Hatcher & W. Thurston, Incompressible surfaces in 2-bridge knot complements, Invent. Math. 79 (1985) 225-246.
16. J. Hempel, 3-manifolds, Ann. of Math. Stud. Vol. 86, Princeton Univ. Press, Princeton, 1976.
17. W. Jaco, Lectures on three-manifold topology, Regional Conf. Ser. Math. Vol. 43, 1980.
18. K. Kim & J. Tollefson, Splitting the PL involutions of nonprime 3-manifolds, Michigan Math. J. 27 (1980) 259-274.
19. L. Lopez, Alternating knots and non-Haken 3-manifolds, Topology Appl. 48 (1992) 117-146.
20. W. Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37-44.
21. W. Menasco & M. Thistlethwaite, Surfaces with boundary in alternating knot exteriors, J. Reine Angew. Math. 426 (1992) 47-65.
22. J. Montesinos, Una familia infinita de nudos representados no separables, Rev. Math. Hisp.-Amer. 33 (1973) 32-35.
23. U. Oertel, Closed incompressible surfaces in complements of star links, Pacific J. Math. Ill (1984) 209-230.
24. D. Rolfsen, Knots and Links, Publish or Perish, Huston, 1976.
25. M. Scharlemann, Producing reducible 3-manifolds by surgery on a knot, Topology 29 (1990) 481-500.
26. P. Scott, The qeometry of 3-manifolds, Bull. London Math. Soc. 15 (1983) 401-478.
27. H. Short, Some closed incompressible surfaces in knot complements which survive surgery, London Math. Soc. Lecture Note ser. 95 (1985) 179-194.
28. W. Thurston, The Geometry and Topology of 3-manifolds, Princeton University, 1978.
29. W. Thurston, Three dimensional manifolds, Kleinian groups and hyper bolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357-381.
30. Y-Q. Wu, The classification of nonsimple algebraic tangles, Math. Ann., to appear.