This paper is in final form and no version of it will be submitted for publication elsewhere.
Supported in part by NSF Grant DMS 86-07958.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Abikoff, Degenerating families of Riemann surfaces, Ann. of Math. 105 (1977), 29–44.
W. Abikoff, On boundaries of Teichmüller spaces and on Kleinian groups III, Acta Math. 134 (1975), 211–237.
L. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, 1966.
L. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413–429 and 87 (1965), 759.
A. Beardon, The Geometry of Discrete Groups, Springer-Verlag, 1983.
L. Bers, Uniformization, moduli, and Kleinian groups, Bull. London Math. Soc. 4 (1972), 257–300.
L. Bers, On boundaries of Teichmüller spaces and on Kleinian groups I, Ann. of Math. 91 (1970), 570–600.
L. Bers, On iterates of hyperbolic transformations of Teichmüller space, Amer. J. Math. 105 (1983), 1–11.
L. Bers, Finite dimensional Teichmüller spaces and generalizations, Bull. Amer. Math. Soc. (N.S.) 5 (1981), 131–172.
M. Dehn, Papers on Group Theory and Topology (translated by J. Stillwell), Springer-Verlag, 1987. [See also: W. Lickorish, Proc. Cambr. Phil. Soc. 60 (1964), 769 and 62 (1966), 679.]
G. M. Golusin, Geometrische Funktionentheorie, VEB Deutscher Verlag der Wiss., Berlin, 1957.
D. A. Hejhal, Regular b-groups, degenerating Riemann surfaces, and spectral theory, Chalmers Univ. Tech. Report 1987–19, 135 pp.
T. Jørgensen and A. Marden, Algebraic and geometric convergence of Kleinian groups, MSRI (Berkeley) Preprint 10319–86, 39 pp.
J. Lehner, Discontinuous Groups and Automorphic Functions, AMS Math. Surveys No. 8, 1964.
O. Lehto and K. I. Virtanen, Quasikonforme Abbildungen, Springer-Verlag, 1965.
A. Marden, Geometrically finite Kleinian groups and their deformation spaces, in Discrete Groups and Automorphic Functions (ed. by W. J. Harvey), Academic Press, 1977, pp. 259–293.
A. Marden, Geometric complex coordinates for Teichmüller space, to appear in Proc. of the 1986 Conf. on Math. Aspects of String Theory (at UCSD), 14 pp.
A. Marden, The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974), 383–462.
B. Maskit, On boundaries of Teichmüller spaces and on Kleinian groups II, Ann. of Math. 91 (1970), 607–639.
B. Maskit, Decomposition of certain Kleinian groups, Acta Math. 130 (1973), 243–263.
B. Maskit, On the classification of Kleinian groups II, Acta Math. 138 (1977), 17–42.
B. Maskit, On the classification of function groups, in Discrete Groups and Automorphic Functions (ed. by W. J. Harvey), Academic Press, 1977, pp. 349–361.
B. Maskit, On Klein's combination theorem III, in Annals of Math. Studies No. 66, 1971, pp. 297–316.
B. Maskit, Comparison of hyperbolic and extremal lengths, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 381–386.
B. Maskit, Parabolic elements in Kleinian groups, Ann. of Math. 117 (1983), 659–668.
B. Maskit, Moduli of marked Riemann surfaces, Bull. Amer. Math. Soc. 80 (1974), 773–777.
B. Maskit, Kleinian Groups, Springer-Verlag, 1988.
W. Thurston, Three-dimensional manifolds, Kleinian groups, and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), 357–381.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Hejhal, D.A. (1988). Regular b-groups and repeated Dehn twists. In: Laine, I., Sorvali, T., Rickman, S. (eds) Complex Analysis Joensuu 1987. Lecture Notes in Mathematics, vol 1351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081252
Download citation
DOI: https://doi.org/10.1007/BFb0081252
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50370-5
Online ISBN: 978-3-540-45992-7
eBook Packages: Springer Book Archive