Hyperbolic structures for surfaces of infinite type

Transactions of the American Mathematical Society

Volumn 336, Issue 1, 1993, Pages 421-444

  Basmajian, Ara ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

Fuchsian group; Hyperbolic surface; Pair of pants; Riemann surface

Indexed keywords

EID: 0010886807     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1993-1087051-2     Document Type: Article

References (12)

1. W. Abikoff, The real analytic theory of Teichmiiller space, Lecture Notes in Math., vol. 820, Springer-Verlag, New York, 1980.
2. L. Ahlfors and L. Sario, Riemann surfaces, Princeton Univ. Press, Princeton, N.J., 1960.
3. A. Basmajian, Hyperbolic invariants for infinitely generated Fuchsian groups, Ph.D. thesis, Stony Brook University, 1987.
4. A. Basmajian, Constructing pairs of pants, Ann. Acad. Sci. Fenn. Ser. A I Math. 15 (1990), 65-74.
5. B Beardon, The geometry of discrete groups, Springer-Verlag, New York, 1983.
6. F. Gardiner, Teichmiiller theory and quadratic differentials, Wiley, New York, 1987.
7. L. Keen, On infinitely generated Fuchsian groups, J. Indian Math. Soc. 35 (1971), 67-85.
8. M Maskit, Kleinian groups, Springer-Verlag, New York, 1987.
9. M. Nakai and L. Sario, Classification theory of Riemann surfaces, Springer-Verlag, New York, 1970.
10. N. Purzitsky, A cutting and pasting of non-compact polygons with applications to Fuchsian groups, Acta Math. 143 (1979), 233-250.
11. N. Purzitsky, Fricke polygons for infinitely generated fuchsian groups. 1, preprint.
12. W. Thurston, The geometry and topology of 3-manifolds, Lecture Notes, 1977.