Alternating knots satisfy strong property P

Commentarii Mathematici Helvetici

Volumn 74, Issue 3, 1999, Pages 376-397

  Delman, Charles ^a   Roberts, Rachel ^b  

^a EASTERN ILLINOIS UNIVERSITY   (United States)

^b WASHINGTON UNIVERSITY   (United States)

Author keywords

3 manifold; Alternating knot; Dehn surgery; Essential lamination; Property P

Indexed keywords

EID: 0000596516     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000140050095     Document Type: Article

References (22)

1. M. Brittenham, Persistently Laminar Tangles, preprint.
2. R. Crowell, Genus of Alternating Link Types, Ann. of Math. 69 (1959), 258-275.
3. Charles Delman, Essential Laminations and Dehn Surgery on 2-bridge Knots, Topology and its Appl. 63 (1995), 201-221.
4. Charles Delman, Constructing Essential Laminations Which Survive All Dehn Surgeries, preprint.
5. David Gabai, Foliations and the Topology of 3-Manifolds, J. Diff. Geom. 18 (1983), 479-536.
6. David Gabai, Foliations and the Topology of 3-Manifolds II, J. Diff. Geom. 26 (1987), 461-478.
7. David Gabai, Foliations and the Topology of 3-Manifolds III, J. Diff. Geom. 26 (1987), 479-536.
8. David Gabai, The Murasugi Sum is a Natural Geometric Operation I, Cont. Math. 20 (1983), 131-145.
9. David Gabai, The Murasugi Sum is a Natural Geometric Operation II, Cont. Math. 44 (1985), 93-100.
10. David Gabai, Foliations and Genera of Links, Topology 23 (1984), 381-394.
11. David Gabai, Eight Problems in the Geometric Theory of Foliations and Laminations on 3-Manifolds, in: William H. Kazez, ed., Geometric Topology 1993 Georgia International Topology Conference, August 2-13, 1993, AMS/IP, Providence, 1997.
12. David Gabai and William Kazez, Pseudo-anosov Maps and Surgery on Fibred 2-bridge Knots, Topology and its Applications 37 (1990), 93-100.
13. David Gabai and Ulrich Oertel, Essential Laminations in 3-manifolds, Ann. Math. 130 (1989), 41-73.
14. William Menasco, Closed Incompressible Surfaces in Alternating Knot and Link Complements, Topology 23(1) (1984), 37-44.
15. William Menasco, Constructing Incompressible Branched Surfaces, preprint.
16. 1, preprint.
17. William Menasco and Morwen Thistlethwaite, The Tait Flyping Conjecture, Bull. A.M.S. 25(2) (1991), 403-413.
18. Louise Moser, Elementary Surgery along a Torus Knot, Pac. J. Math. 38(3) (1971), 737-745.
19. K. Murasugi, On the Genus of the Alternating Knot I, J. Math. Soc. Japan 10 (1958), 94-105.
20. K. Murasugi, On the Genus of the Alternating Knot II, J. Math. Soc. of Japan 10 (1958), 235-248.
21. Rachel Roberts, Constructing Taut Foliations, Comment. Math. Helvetici 70 (1995), 516-545.
22. Dale Rolfsen, Knots and Links, Publish or Perish, Houston, 1990.