Bounded cohomology and topologically tame Kleinian groups
Teruhiko Soma
Source: Duke Math. J. Volume 88, Number 2
(1997), 357-370.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241582
Mathematical Reviews number (MathSciNet): MR1455524
Zentralblatt MATH identifier: 0880.57009
Digital Object Identifier: doi:10.1215/S0012-7094-97-08814-1
References
[1] J. Barge and E. Ghys, Surfaces et cohomologie bornée, Invent. Math. 92 (1988), no. 3, 509–526.
Mathematical Reviews (MathSciNet): MR89e:55015
Zentralblatt MATH: 0641.55015
Digital Object Identifier: doi:10.1007/BF01393745
[2] R. Brooks and C. Series, Bounded cohomology for surface groups, Topology 23 (1984), no. 1, 29–36.
Mathematical Reviews (MathSciNet): MR85c:57009
Zentralblatt MATH: 0523.55011
Digital Object Identifier: doi:10.1016/0040-9383(84)90022-3
[3] R. Canary, Ends of hyperbolic $3$-manifolds, J. Amer. Math. Soc. 6 (1993), no. 1, 1–35.
Mathematical Reviews (MathSciNet): MR93e:57019
Zentralblatt MATH: 0810.57006
Digital Object Identifier: doi:10.2307/2152793
JSTOR: links.jstor.org
[4] R. Canary, A covering theorem for hyperbolic $3$-manifolds and its applications, Topology 35 (1996), no. 3, 751–778.
Mathematical Reviews (MathSciNet): MR97e:57012
Zentralblatt MATH: 0863.57010
Digital Object Identifier: doi:10.1016/0040-9383(94)00055-7
[5] M. Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. (1982), no. 56, 5–99 (1983).
Mathematical Reviews (MathSciNet): MR84h:53053
Zentralblatt MATH: 0516.53046
[6] J. Hempel, $3$-Manifolds, Ann. of Math. Stud., vol. 86, Princeton University Press, Princeton, N. J., 1976.
Mathematical Reviews (MathSciNet): MR54:3702
Zentralblatt MATH: 0345.57001
[7] W. Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics, vol. 43, American Mathematical Society, Providence, R.I., 1980.
Mathematical Reviews (MathSciNet): MR81k:57009
Zentralblatt MATH: 0433.57001
[8] D. McCullough, Compact submanifolds of $3$-manifolds with boundary, Quart. J. Math. Oxford Ser. (2) 37 (1986), no. 147, 299–307.
Mathematical Reviews (MathSciNet): MR88d:57012
Zentralblatt MATH: 0628.57008
Digital Object Identifier: doi:10.1093/qmath/37.3.299
[9] W. Meeks and S.-T. Yau, The equivariant Dehn's lemma and loop theorem, Comment. Math. Helv. 56 (1981), no. 2, 225–239.
Mathematical Reviews (MathSciNet): MR83b:57006
Zentralblatt MATH: 0469.57005
Digital Object Identifier: doi:10.1007/BF02566211
[10] Y. Minsky, On rigidity, limit sets, and end invariants of hyperbolic $3$-manifolds, J. Amer. Math. Soc. 7 (1994), no. 3, 539–588.
Mathematical Reviews (MathSciNet): MR94m:57029
Zentralblatt MATH: 0808.30027
Digital Object Identifier: doi:10.2307/2152785
JSTOR: links.jstor.org
[11] Y. Mitsumatsu, Bounded cohomology and $l\sp 1$-homology of surfaces, Topology 23 (1984), no. 4, 465–471.
Mathematical Reviews (MathSciNet): MR86f:57010
Zentralblatt MATH: 0568.55002
Digital Object Identifier: doi:10.1016/0040-9383(84)90006-5
[12] J. Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, The Smith conjecture (New York, 1979), Pure Appl. Math., vol. 112, Academic Press, Orlando, FL, 1984, pp. 37–125.
Mathematical Reviews (MathSciNet): MR758464
Zentralblatt MATH: 0599.57002
[13] K. Ohshika, Ending laminations and boundaries for deformation spaces of Kleinian groups, J. London Math. Soc. (2) 42 (1990), no. 1, 111–121.
Mathematical Reviews (MathSciNet): MR91k:57012
Zentralblatt MATH: 0715.30032
Digital Object Identifier: doi:10.1112/jlms/s2-42.1.111
[14] D. Rolfsen, Knots and links, Publish or Perish Inc., Berkeley, Calif., 1976.
Mathematical Reviews (MathSciNet): MR58:24236
Zentralblatt MATH: 0339.55004
[15] G. P. Scott, Compact submanifolds of $3$-manifolds, J. London Math. Soc. (2) 7 (1973), 246–250.
Mathematical Reviews (MathSciNet): MR48:5080
Zentralblatt MATH: 0266.57001
Digital Object Identifier: doi:10.1112/jlms/s2-7.2.246
[16] G. P. Scott and G. Swarup, Geometric finiteness of certain Kleinian groups, Proc. Amer. Math. Soc. 109 (1990), no. 3, 765–768.
Mathematical Reviews (MathSciNet): MR90k:57002
Zentralblatt MATH: 0699.30040
Digital Object Identifier: doi:10.2307/2048217
JSTOR: links.jstor.org
[17] T. Soma, Bounded cohomology of closed surfaces, to appear in Topology.
Mathematical Reviews (MathSciNet): MR1452849
Digital Object Identifier: doi:10.1016/S0040-9383(97)00003-7
[18] T. Soma, Existence of non-Banach bounded cohomology, to appear in Topology.
Mathematical Reviews (MathSciNet): MR1480885
Digital Object Identifier: doi:10.1016/S0040-9383(97)00002-5
[19] W. Thurston, The geometry and topology of $3$-manifolds, author's lecture notes, Princeton University, 1978.
[20] W. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357–381.
Mathematical Reviews (MathSciNet): MR83h:57019
Zentralblatt MATH: 0496.57005
Digital Object Identifier: doi:10.1090/S0273-0979-1982-15003-0
Project Euclid: euclid.bams/1183548782
[21] W. Thurston, Hyperbolic structures on $3$-manifolds. I. Deformation of acylindrical manifolds, Ann. of Math. (2) 124 (1986), no. 2, 203–246.
Mathematical Reviews (MathSciNet): MR88g:57014
Zentralblatt MATH: 0668.57015
Digital Object Identifier: doi:10.2307/1971277
JSTOR: links.jstor.org
[22] T. Yoshida, On $3$-dimensional bounded cohomology of surfaces, Homotopy theory and related topics (Kyoto, 1984), Adv. Stud. Pure Math., vol. 9, North-Holland, Amsterdam, 1987, pp. 173–176.
Mathematical Reviews (MathSciNet): MR88m:57032
Zentralblatt MATH: 0672.57011
Duke Mathematical Journal
