Pleating coordinates for the Earle embedding
Annales de la Faculté des sciences de Toulouse : Mathématiques (2001)
- Volume: 10, Issue: 1, page 69-105
- ISSN: 0240-2963
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topKomori, Yohei, and Series, Caroline. "Pleating coordinates for the Earle embedding." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.1 (2001): 69-105. <http://eudml.org/doc/73543>.
@article{Komori2001,
author = {Komori, Yohei, Series, Caroline},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Teichmüller spaces; quasi-Fuchsian groups; pleating varieties},
language = {eng},
number = {1},
pages = {69-105},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Pleating coordinates for the Earle embedding},
url = {http://eudml.org/doc/73543},
volume = {10},
year = {2001},
}
TY - JOUR
AU - Komori, Yohei
AU - Series, Caroline
TI - Pleating coordinates for the Earle embedding
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2001
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 1
SP - 69
EP - 105
LA - eng
KW - Teichmüller spaces; quasi-Fuchsian groups; pleating varieties
UR - http://eudml.org/doc/73543
ER -
References
top- [1] Ahlfors ( L.V.). - Lectures on Quasiconformal MappingsWadsworth and Brooks/Cole Mathematics Series, 1987. Zbl0605.30002MR883205
- [2] Beardon ( A.F.). - The geometry of discrete groups, Springer-Verlag, 1983. Zbl0528.30001MR698777
- [3] Birman ( J.) and Series ( C.). - Algebraic linearity for an automorphism of a surface group, Journal of Pure and Applied Algebra52 (1988), 227-275. Zbl0646.57007MR952081
- [4] Epstein ( D.B.A.), Canary ( R.D.) and Green ( P.). - Notes on notes of Thurston, in Analytical and Geometric Aspects of Hyperbolic Space, D.B.A. Epstein, ed., LMS Lecture Notes111, 112-253, Cambridge University Press, 1987. Zbl0612.57009MR903850
- [5] Earle ( C.J.). - Some intrinsic coordinates on Teichmüller space, Proc. Amer. Math. Soc.83 (1981), 527-531. Zbl0478.32015MR627684
- [6] Epstein ( D.B.) and Marden ( A.). — Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, in Analytical and Geometric Aspects of Hyperbolic Space, D.B.A. Epstein, ed., LMS Lecture Notes111, 112-253, Cambridge University Press, 1987. Zbl0612.57010MR903852
- [7] Jørgensen ( T.). - Once punctured tori, unpublished preprint.
- [8] Keen ( L.). - Teichmüller Space of Punctured Tori: I, Complex Variables, 2 (1983), 199-211.
- [9] Keen ( L.), Maskit ( B.) and Series ( C.). - Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets, J. Reine Angew. Math.436 (1993), 209-219. Zbl0764.30035MR1207287
- [10] Keen ( L.) and Series ( C.). - Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori, Topology32 (1993), 719-749. Zbl0794.30037MR1241870
- [11] Keen ( L.) and Series ( C.). — The Riley slice of Schottky space, Proc. London Math. Soc.69 (1994), 72-90. Zbl0807.30031MR1272421
- [12] Keen ( L.) and Series ( C.). — Continuity of convex hull boundaries, Pacific. J. Math.168 (1995), 183-206. Zbl0838.30043MR1331998
- [13] Keen ( L.) and Series ( C.). — How to bend pairs of punctured tori, in Lipa's Legacy, J. Dodziuk and L. Keen eds, Contemporary Mathematics211 (1997), 359-387. Zbl0884.30033MR1476997
- [14] Keen ( L.) and Series ( C.). - Pleating invariants for punctured torus groups, Warwick University preprint, 10/1998. MR2052972
- [15] Kerckhoff ( S.), The Nielsen realization problem, Ann. of Math., 117(2) (1983), 235-265. Zbl0528.57008MR690845
- [16] Kerckhoff ( S.). — Earthquakes are analytic, Comment. Mat. Helv., 60 (1985), 17-30. Zbl0575.32024MR787659
- [17] Komori ( Y.) and Series ( C.). - The Riley slice revisited, in Geometry and Topology Monographs Volume 1: The Epstein Birthday Schrift (1998), 303-316. Zbl0904.30025MR1668296
- [18] Kra ( I.). - Deformation spaces, in A crash course on Kleinian groups, 48-70, Lecture Notes in Maths. 400, Springer-Verlag1974. Zbl0293.32021MR402122
- [19] Kra ( I.). - On algebraic curves (of low genus) defined by Kleinian groups, Annales Polonici Math.XLVI (1985), 147-156. Zbl0603.30052MR841820
- [20] Kra ( I.) and Maskit ( B.). — Bases for quadratic differentials, Comment. Math. Helv.57 (1982), 603-626. Zbl0527.30036MR694607
- [21] Marden ( A.). - The geometry of finitely generated Kleinian groups, Ann. Math.99 (1974), 383-462. Zbl0282.30014MR349992
- [22] Maskit ( B.). — Comparison of hyperbolic and extremal lengths, Ann. Acad. Sci. Fenniae. Ser. A.I. Math. 10 (1985), 381-386. Zbl0587.30043MR802500
- [23] Matthews ( C.A.). - Mappings between one-dimensional Teichmüller spaces, Experimental Mathematics, to appear. MR1837674
- [24] Mcmullen ( C.T.). - Complex earthquakes and Teichmüller theory, J. Amer. Math. Soc.11 (1998), 283-320. Zbl0890.30031MR1478844
- [25] Minsky ( Y.). - The classification of punctured-torus groups, Ann. of Math.149 (1999), 559-626. Zbl0939.30034MR1689341
- [26] Mumford ( D.), Series ( C.), Wright ( D.). - Indra's Pearls, Cambridge University Press, to appear. Zbl1141.00002MR1913879
- [27] Parker ( J.R.) and Series ( C.). - Bending formulae for convex hull boundaries, Journal d'Analyse Math.67 (1995), 165-198. Zbl0849.30036MR1383492
- [28] Parkkonen ( J.). — The outside of the Teichmüller space of punctured tori in Maskit's embedding, Ann. Acad. Sci. Fenn. Math.24 (1999), 305-342. Zbl0940.30021MR1724088
- [29] Pommerenke ( C.). — Boundary Behaviour of Conformal Maps, Springer-Verlag, 1991. Zbl0762.30001MR1217706
- [30] Series ( C.). — The geometry of Markoff numbers, Math. Intelligencer7 (1985), 20-29. Zbl0566.10024MR795536
- [31] Thurston ( W.). - Geometry and Topology of Three-Manifolds, Princeton lecture notes, 1979.
- [32] Wright ( D.J.). - The shape of the boundary of Maskit's embedding of the Teichmüller space of once punctured tori, unpublished preprint.
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