Volume 14, issue 4 (2010)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
The Maskit embedding of the twice punctured torus

Caroline Series

Geometry & Topology 14 (2010) 1941–1991
Bibliography
1 A Austin, Visualising the Maskit embedding of the twice punctured torus, MMath project, University of Warwick (2010)
2 A Austin, C Series, Computing pleating rays for the twice punctured torus, in preparation
3 A F Beardon, The geometry of discrete groups, 91, Springer (1983) MR698777
4 J S Birman, C Series, Algebraic linearity for an automorphism of a surface group, J. Pure Appl. Algebra 52 (1988) 227 MR952081
5 F Bonahon, J P Otal, Laminations measurées de plissage des variétés hyperboliques de dimension 3, Ann. of Math. (2) 160 (2004) 1013 MR2144972
6 R D Canary, D B A Epstein, P Green, Notes on notes of Thurston, from: "Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984)" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 3 MR903850
7 Y Chiang, Geometric intersection numbers on a five-punctured sphere, Ann. Acad. Sci. Fenn. Math. 26 (2001) 73 MR1816563
8 Y E Choi, K Rafi, C Series, Lines of minima and Teichmüller geodesics, Geom. Funct. Anal. 18 (2008) 698 MR2438996
9 Y E Choi, C Series, Lengths are coordinates for convex structures, J. Differential Geom. 73 (2006) 75 MR2217520
10 D B A Epstein, A Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, from: "Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984)" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 113 MR903852
11 M Kapovich, Hyperbolic manifolds and discrete groups, 183, Birkhäuser (2001) MR1792613
12 L Keen, B Maskit, C Series, Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets, J. Reine Angew. Math. 436 (1993) 209 MR1207287
13 L Keen, J R Parker, C Series, Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori, Unpublished draft manuscript (1996)
14 L Keen, J R Parker, C Series, Combinatorics of simple closed curves on the twice punctured torus, Israel J. Math. 112 (1999) 29 MR1715014
15 L Keen, C Series, Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori, Topology 32 (1993) 719 MR1241870
16 L Keen, C Series, Pleating invariants for punctured torus groups, Topology 43 (2004) 447 MR2052972
17 I Kra, Horocyclic coordinates for Riemann surfaces and moduli spaces. I. Teichmüller and Riemann spaces of Kleinian groups, J. Amer. Math. Soc. 3 (1990) 499 MR1049503
18 S Maloni, C Series, Top terms of trace polynomials in Kra’s plumbing construction, Alg. Geom. Topol. 10 (2010) 1565
19 A Marden, Outer circles. An introduction to hyperbolic 3–manifolds, Cambridge Univ. Press (2007) MR2355387
20 B Maskit, Kleinian groups, 287, Springer (1988) MR959135
21 C McMullen, Cusps are dense, Ann. of Math. (2) 133 (1991) 217 MR1087348
22 J Milnor, Singular points of complex hypersurfaces, 61, Princeton Univ. Press (1968) MR0239612
23 Y N Minsky, Extremal length estimates and product regions in Teichmüller space, Duke Math. J. 83 (1996) 249 MR1390649
24 H Miyachi, Cusps in complex boundaries of one-dimensional Teichmüller space, Conform. Geom. Dyn. 7 (2003) 103 MR2023050
25 D Mumford, C Series, D Wright, Indra’s pearls. The vision of Felix Klein, Cambridge Univ. Press (2002) MR1913879
26 R C Penner, J L Harer, Combinatorics of train tracks, 125, Princeton Univ. Press (1992) MR1144770
27 C Series, An extension of Wolpert’s derivative formula, Pacific J. Math. 197 (2001) 223 MR1810217
28 C Series, Limits of quasi-Fuchsian groups with small bending, Duke Math. J. 128 (2005) 285 MR2140265
29 D Thurston, On geometric intersection of curves in surfaces
30 D J Wright, The shape of the boundary of Maskit’s embedding of the Teichmüller space of once punctured tori, Unpublished preprint (1988)