Boundary slopes of immersed surfaces in 3-manifolds

Journal of Differential Geometry

Volumn 52, Issue 2, 1999, Pages 303-325

  Hass, Joel ^a,b,c   Rubinstein, J Hyam ^a,b,c   Wang, Shicheng ^a,b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000966859     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214425279     Document Type: Article

References (26)

1. C. Adams, The non-compact hyperbolic S-manifold of minimum volume, Proc. Amer. Math. Soc. 100 (1987) 601-106.
2. C. Adams, Volumes of N-cusped hyperbolic S-manifolds, J. London Math. Soc. 38 (1988) 555-565.
3. I. Agol, Bounds on exceptional Dehn filling, math.GT/9906183.
4. T. M. Apostol, Introduction to analytic number theory, Springer, Berlin, 1976.
5. M. Baker, On boundary slopes of immersed incompressible surfaces, Ann. Inst. Fourier (Grenoble) 46 (1996) 1443-1449.
6. S. Bleiler & C. Hodgson, Spherical space forms and Dehn filling, Topology 35 (1996) 809-833.
7. M. Freedman, J. Hass & P. Scott, least area incompressible surfaces in S-manifolds, Invent. Math. 71 (1983) 609-642.
8. C. Gordon, Dehn surgery on knots, Proc. ICM Kyoto, Springer, Berlin, 1990, 631-642.
9. C. Gordon & R. Litherland, Incompressible planar surfaces in 3-manifolds, Topology Appl. 18 (1984) 121-144.
10. M. Gromov & W. Thurston, Pinching constants for hyperbolic S-manifolds, Invent. Math. 89 (1987) 1-12.
11. 1 actions and the simple loop conjecture for Seifert fiber spaces, Proc. Amer. Math. Soc. 99 (1987) 383-388.
12. J. Hass & P. Scott, The existence of least area surfaces in S-manifolds, Trans. Amer. Math. Soc. 310 (1988) 87-114.
13. A. Hatcher, On the boundary curves of incompressible surfaces, Pacific J. Math. 99 (1982) 373-377.
14. M. Lackenby, Word hyperbolic Dehn surgery, math.GT/980812, to appear in Invent. Math.
15. B. Leeb, S-manifolds with(out) metrics of nonpositive curvature, Invent. Math. 122 (1995) 277-289.
16. 3, Proc. ICM Zurich(1994) 585-594.
17. J. Luecke, Amer. Math. Soc. Abstracts 17, 434.
18. U. Oertel, Boundaries of 7Ti-injective surfaces, Topology Appl. 78 (1997) 215-234.
19. J. H. Rubinstein & S. C. Wang, ni-injective surfaces in graph manifolds, Comment. Math. Helv. 73 (1998) 499-515.
20. 3, Invent. Math. 90 (1987) 189-215.
21. P. Shalen, Representations of S-manifold groups and its application to topology, Proc. ICM Berkeley, 1986, 607-614.
22. R. Schoen, Estimates for stable minimal surfaces in three dimensional manifolds, Seminar on minimal submanifolds, (ed. E. Bombieri), Princeton Univ. Press, 1983, 111-126.
23. R. Schoen & S. T. Yau, Existence of incompressible minimal surfaces and the topoloqy of 3-dimensional manifolds with non-neqative scalar curvature, Ann. of Math. 110 (1979) 127-142.
24. W. Thurston, Geometry and topology of S-manifolds, Princeton Lecture Notes, Princeton, NJ, 1978.
25. J. Maher, Virtually embedded boundary slopes, Topology Appl. 95 (1999) no. 1, 63-74.
26. C. Cao & R. Meyerhoff, The orientable cusped hyperbolic S-manifolds of minimal volume, Preprint.