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Volumn 136, Issue 3, 1999, Pages 623-657

Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds

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EID: 0033243369     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050321     Document Type: Article
Times cited : (87)

References (35)
  • 3
    • 0002952480 scopus 로고    scopus 로고
    • The fundamental polygons of twist knots and the (-2, 3, 7) pretzel knot
    • S. Suzuki, editor, World Scientific
    • [BMZ] S. Boyer, T. Mattman, X. Zhang. The fundamental polygons of twist knots and the (-2, 3, 7) pretzel knot. In: S. Suzuki, editor, Proceedings of Knots 96, pp. 159-172. World Scientific, 1997
    • (1997) Proceedings of Knots , vol.96 , pp. 159-172
    • Boyer, S.1    Mattman, T.2    Zhang, X.3
  • 4
    • 0030487001 scopus 로고    scopus 로고
    • Finite Dehn surgery on knots
    • [BZ1] S. Boyer, X. Zhang. Finite Dehn surgery on knots. J. Am. Math. Soc. 9 (1996), 1005-1050
    • (1996) J. Am. Math. Soc. , vol.9 , pp. 1005-1050
    • Boyer, S.1    Zhang, X.2
  • 5
    • 0001332225 scopus 로고    scopus 로고
    • Cyclic surgery and boundary slopes
    • W. H. Kazez, editor, of AMS/IP Studies in Advanced Mathematics
    • [BZ2] S. Boyer, X. Zhang. Cyclic surgery and boundary slopes. In: W. H. Kazez, editor, Geometric Topology, vol. 2 (part 1) of AMS/IP Studies in Advanced Mathematics, pp. 62-79, 1997
    • (1997) Geometric Topology , vol.2 , Issue.PART 1 , pp. 62-79
    • Boyer, S.1    Zhang, X.2
  • 6
    • 0032264532 scopus 로고    scopus 로고
    • On Culler-Shalen seminorms and Dehn filling
    • [BZ3] S. Boyer, X. Zhang. On Culler-Shalen seminorms and Dehn filling. Ann. Math. (2) 148 (1998), 737-801
    • (1998) Ann. Math. , vol.148 , Issue.2 , pp. 737-801
    • Boyer, S.1    Zhang, X.2
  • 7
    • 0002576110 scopus 로고
    • Plane curves associated to character varieties of 3-manifolds
    • [CCGLS] D. Cooper, M. Culler, H. Gillet, D. D. Long, P. B. Shalen. Plane curves associated to character varieties of 3-manifolds. Invent. Math. 118 (1994), 47-74
    • (1994) Invent. Math. , vol.118 , pp. 47-74
    • Cooper, D.1    Culler, M.2    Gillet, H.3    Long, D.D.4    Shalen, P.B.5
  • 9
    • 84972517967 scopus 로고
    • Flat G-bundles with canonical metrics
    • [Cor1] K. Corlette. Flat G-bundles with canonical metrics. J. Differential Geom. 28 (1988), 361-382
    • (1988) J. Differential Geom. , vol.28 , pp. 361-382
    • Corlette, K.1
  • 10
    • 0001189006 scopus 로고
    • Archimedean superrigidity and hyperbolic geometry
    • [Cor2] K. Corlette. Archimedean superrigidity and hyperbolic geometry. Ann. Math. (2) 135 (1992), 165-182
    • (1992) Ann. Math. , vol.135 , Issue.2 , pp. 165-182
    • Corlette, K.1
  • 11
    • 0002204663 scopus 로고
    • Lifting representations to covering groups
    • [Cu1] M. Culler. Lifting representations to covering groups. Adv. Math. 59 (1986), 64-70
    • (1986) Adv. Math. , vol.59 , pp. 64-70
    • Culler, M.1
  • 13
    • 0001034704 scopus 로고
    • Varieties of group representations and splittings of 3-manifolds
    • [CS1] M. Culler, P. B. Shalen. Varieties of group representations and splittings of 3-manifolds. Ann. Math. (2) 117 (1983), 109-146
    • (1983) Ann. Math. , vol.117 , Issue.2 , pp. 109-146
    • Culler, M.1    Shalen, P.B.2
  • 14
    • 0000126495 scopus 로고
    • Bounded, separating, incompressible surfaces in knot manifolds
    • [CS2] M. Culler, P. B. Shalen. Bounded, separating, incompressible surfaces in knot manifolds. Invent. Math. 75 (1984), 537-545
    • (1984) Invent. Math. , vol.75 , pp. 537-545
    • Culler, M.1    Shalen, P.B.2
  • 16
    • 0033095459 scopus 로고    scopus 로고
    • Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds
    • [Dun] N. M. Dunfield. Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds. Topology 38 (1999), 457-465
    • (1999) Topology , vol.38 , pp. 457-465
    • Dunfield, N.M.1
  • 17
    • 0002205903 scopus 로고
    • Constructing lens spaces by surgery on knots
    • Correction in 178 (1981)
    • [FS] R. Fintushel, R. J. Stern. Constructing lens spaces by surgery on knots. Math. Z. 175 (1980), 33-51. Correction in 178 (1981), 143
    • (1980) Math. Z. , vol.175 , pp. 33-51
    • Fintushel, R.1    Stern, R.J.2
  • 18
    • 84966218907 scopus 로고
    • Characteristic classes and representations of discrete subgroups of Lie groups
    • [Gol] W. M. Goldman. Characteristic classes and representations of discrete subgroups of Lie groups. Bull. Am. Math. Soc. (N.S.) 6 (1982), 91-94
    • (1982) Bull. Am. Math. Soc. (N.S.) , vol.6 , pp. 91-94
    • Goldman, W.M.1
  • 19
    • 0001334623 scopus 로고    scopus 로고
    • Dehn filling: A survey
    • Banach Center Publ., 42, Polish Acad. Sci., Warsaw
    • [Gor] C. McA. Gordon. Dehn filling: a survey. In: Knot Theory (Warsaw 1995), 129-144, Banach Center Publ., 42, Polish Acad. Sci., Warsaw, 1998
    • (1998) Knot Theory (Warsaw 1995) , pp. 129-144
    • Gordon, C.McA.1
  • 21
    • 0002471105 scopus 로고
    • Simplices of maximal volume in hyperbolic n-space
    • [HM] U. Haagerup, H. J. Munkholm. Simplices of maximal volume in hyperbolic n-space. Acta Math. 147 (1981), 1-11
    • (1981) Acta Math. , vol.147 , pp. 1-11
    • Haagerup, U.1    Munkholm, H.J.2
  • 22
    • 84972500142 scopus 로고
    • On the boundary curves of incompressible surfaces
    • [Hat] A. Hatcher. On the boundary curves of incompressible surfaces. Pacific J. Math. 99 (1982), 373-377
    • (1982) Pacific J. Math. , vol.99 , pp. 373-377
    • Hatcher, A.1
  • 23
    • 38249023117 scopus 로고
    • Boundary slopes for Montesinos knots
    • [HO] A. Hatcher, U. Oertel. Boundary slopes for Montesinos knots. Topology. 28 (1989), 453-480
    • (1989) Topology , vol.28 , pp. 453-480
    • Hatcher, A.1    Oertel, U.2
  • 24
    • 0002990334 scopus 로고
    • Incompressible surfaces in 2-bridge knot complements
    • [HT] A. Hatcher, W. Thurston. Incompressible surfaces in 2-bridge knot complements. Invent. Math. 79 (1985), 225-246
    • (1985) Invent. Math. , vol.79 , pp. 225-246
    • Hatcher, A.1    Thurston, W.2
  • 26
    • 0001149669 scopus 로고
    • Dehn surgery on knots in the 3-sphere
    • (Zürich, 1994), Basel. Birkhäuser
    • [Lue] J. Luecke. Dehn surgery on knots in the 3-sphere. In: Proceedings of the International Congress of Mathematicians, Vol. 1,2 (Zürich, 1994), pp. 585-594, Basel. Birkhäuser, 1995
    • (1995) Proceedings of the International Congress of Mathematicians , vol.1-2 , pp. 585-594
    • Luecke, J.1
  • 27
    • 0000181446 scopus 로고
    • Valuations, trees, and degenerations of hyperbolic structures
    • [MS] J. W. Morgan, P. B. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I. Ann. Math. (2) 120 (1984), 401-476
    • (1984) I. Ann. Math. , vol.120 , Issue.2 , pp. 401-476
    • Morgan, J.W.1    Shalen, P.B.2
  • 28
    • 84972548171 scopus 로고
    • Elementary surgery along a torus knot
    • [Mos] L. Moser. Elementary surgery along a torus knot. Pacific J. Math. 38 (1971), 737-745
    • (1971) Pacific J. Math. , vol.38 , pp. 737-745
    • Moser, L.1
  • 29
    • 0000145919 scopus 로고
    • Simplices of maximal volume in hyperbolic space, Gromov's norm, and Gromov's proof of Mostow's rigidity theorem (following Thurston)
    • Topology Symposium, Siegen 1979, number 788 in Springer
    • [Mun] H. J. Munkholm. Simplices of maximal volume in hyperbolic space, Gromov's norm, and Gromov's proof of Mostow's rigidity theorem (following Thurston). In: Topology Symposium, Siegen 1979, number 788 in Lect. Notes Math., pp. 109-124, Springer, 1980
    • (1980) Lect. Notes Math. , pp. 109-124
    • Munkholm, H.J.1
  • 30
    • 0000459324 scopus 로고
    • Volumes of hyperbolic three-manifolds
    • [NZ] W. D. Neumann, D. Zagier. Volumes of hyperbolic three-manifolds. Topology 24 (1985), 307-332
    • (1985) Topology , vol.24 , pp. 307-332
    • Neumann, W.D.1    Zagier, D.2
  • 31
    • 0031185110 scopus 로고    scopus 로고
    • Torsion de Reidemeister pour les variétés hyperboliques
    • x+139
    • [Por] J. Porti. Torsion de Reidemeister pour les variétés hyperboliques. Mem. Am. Math. Soc. 128(1997), x+139
    • (1997) Mem. Am. Math. Soc. , vol.128
    • Porti, J.1
  • 33
  • 34
    • 0003746329 scopus 로고
    • The geometry and topology of 3-manifolds
    • Revised version to be published by Princeton Univ. Press
    • [Thu] W. P. Thurston. The geometry and topology of 3-manifolds. Lecture notes. Revised version to be published by Princeton Univ. Press, 1978
    • (1978) Lecture Notes
    • Thurston, W.P.1
  • 35
    • 84972500283 scopus 로고
    • Representations of surface groups in complex hyperbolic space
    • [Tol] D. Toledo. Representations of surface groups in complex hyperbolic space. J. Diff. Geom. 29 (1989), 125-133
    • (1989) J. Diff. Geom. , vol.29 , pp. 125-133
    • Toledo, D.1


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