Surgeries on one component of the Whitehead link are virtually fibered

Topology

Volumn 41, Issue 2, 2002, Pages 307-320

  Leininger, Christopher J ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Fibered links; Virtually fibered manifolds

Indexed keywords

EID: 10644230142     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(00)00038-0     Document Type: Article

References (15)

1. W.D. Dunbar, G.R. Meyerhoff, Volumes of hyperbolic 3-orbifolds, Indiana J. Math. 43 (1994) 612-637.
2. D. Gabai, The Murasugi sum is a natural geometric operation I, Contemp. Math. 20 (1983) 131-143.
3. D. Gabai, The Murasugi sum is a natural geometric operation II, Contemp. Math. 44 (1985) 93-100.
4. 3, Comm. Math. Helv. 61 (1986) 519-555.
5. D. Gabai, On 3-manifolds finitely covered by surface bundles, in: D.B.A. Epstein (Ed.), Low Dimensional Topology and Kleinian Groups, London Mathematical Society Lecture Note Series, Vol. 112, Cambridge University Press, 1986, pp. 145-155.
6. C.D. Hodgson, G.R. Meyerhoff, J.R. Weeks, Surgeries on the Whitehead link yield geometrically similar manifolds, Topology '90, Proceedings of Low-dimensional Topology Conference, Ohio State University, De Gruyter, 1991, pp. 195-206.
7. W. Jaco, Lectures on Three-manifold Topology, C.B.M.S. Series, Vol. 43, Amer. Math. Soc., Providence, RI, 1980.
8. K. Murasugi, On the genus of the alternating knot I, II, J. Math. Soc. Japan 10 (1958) 94-105, 235-248.
9. K. Murasugi, On a certain subgroup of an alternating link, Amer. J. Math. 85 (1963) 544-550.
10. W.D. Neumann, A.W. Reid, The arithmetic of hyperbolic manifolds, Topology '90, Proceedings of Low-dimensional Topology Conference, Ohio State University, De Gruyter, 1991, pp. 273-310.
11. A.W. Reid, A non-Haken hyperbolic 3-manifold covered by a surface bundle, Pacific J. Math. 167 (1995) 163-182.
12. D. Rolfsen, Knots and Links, Publish or Perish, Berkeley, CA, 1977.
13. J. Stallings, Constructions of fibered knots and links, Proc. Symp. Pure Math. 27 (1975) 315-319.
14. W.P. Thurston, The geometry and topology of 3-manifolds, Princeton University Mimeographed Notes, 1979.
15. W.P. Thurston, Three dimensional manifolds, Kleinian groups, and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357-381.