Volume 14, issue 3 (2010)

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

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Affine deformations of a three-holed sphere

Virginie Charette, Todd A Drumm and William M Goldman

Geometry & Topology 14 (2010) 1355–1382
Bibliography
1 H Abels, Properly discontinuous groups of affine transformations: a survey, Geom. Dedicata 87 (2001) 309 MR1866854
2 I Agol, Tameness of hyperbolic 3–manifolds arXiv:math.GT/0405568
3 T Barbot, V Charette, T Drumm, W M Goldman, K Melnick, A primer on the $(2+1)$ Einstein universe, from: "Recent developments in pseudo–Riemannian geometry", ESI Lect. Math. Phys., Eur. Math. Soc., Zürich (2008) 179 MR2436232
4 D Calegari, D Gabai, Shrinkwrapping and the taming of hyperbolic 3–manifolds, J. Amer. Math. Soc. 19 (2006) 385 MR2188131
5 V Charette, Affine deformations of ultraideal triangle groups, Geom. Dedicata 97 (2003) 17 MR2003687
6 V Charette, The affine deformation space of a rank two Schottky group: a picture gallery, Geom. Dedicata 122 (2006) 173 MR2295549
7 V Charette, Non-proper affine actions of the holonomy group of a punctured torus, Forum Math. 18 (2006) 121 MR2206247
8 V Charette, T Drumm, Strong marked isospectrality of affine Lorentzian groups, J. Differential Geom. 66 (2004) 437 MR2106472
9 V Charette, T A Drumm, The Margulis invariant for parabolic transformations, Proc. Amer. Math. Soc. 133 (2005) 2439 MR2138887
10 V Charette, T A Drumm, W Goldman, Stretching three-holed spheres and the Margulis invariant, from: "In the tradition of Ahlfors–Bers V", Contemp. Math. 510, Amer. Math. Soc. (2010) 61 MR2581843
11 V Charette, T Drumm, W Goldman, M Morrill, Complete flat affine and Lorentzian manifolds, Geom. Dedicata 97 (2003) 187 MR2003697
12 V Charette, W M Goldman, Affine Schottky groups and crooked tilings, from: "Crystallographic groups and their generalizations (Kortrijk, 1999)", Contemp. Math. 262, Amer. Math. Soc. (2000) 69 MR1796126
13 T A Drumm, Examples of nonproper affine actions, Michigan Math. J. 39 (1992) 435 MR1182499
14 T A Drumm, Fundamental polyhedra for Margulis space-times, Topology 31 (1992) 677 MR1191372
15 T A Drumm, Linear holonomy of Margulis space-times, J. Differential Geom. 38 (1993) 679 MR1243791
16 T A Drumm, W M Goldman, Complete flat Lorentz 3–manifolds with free fundamental group, Internat. J. Math. 1 (1990) 149 MR1060633
17 T A Drumm, W M Goldman, The geometry of crooked planes, Topology 38 (1999) 323 MR1660333
18 T A Drumm, W M Goldman, Isospectrality of flat Lorentz 3–manifolds, J. Differential Geom. 58 (2001) 457 MR1906782
19 D Fried, W M Goldman, Three-dimensional affine crystallographic groups, Adv. in Math. 47 (1983) 1 MR689763
20 W M Goldman, The Margulis invariant of isometric actions on Minkowski $(2+1)$–space, from: "Rigidity in dynamics and geometry (Cambridge, 2000)", Springer (2002) 187 MR1919401
21 W M Goldman, Trace coordinates on Fricke spaces of some simple hyperbolic surfaces, from: "Handbook of Teichmüller theory Vol II", IRMA Lect. Math. Theor. Phys. 13, Eur. Math. Soc., Zürich (2009) 611 MR2497777
22 W M Goldman, F Labourie, G Margulis, Proper affine actions and geodesic flows of hyperbolic surfaces, Ann. Math. 170 (2009) 1051
23 W M Goldman, G A Margulis, Flat Lorentz 3–manifolds and cocompact Fuchsian groups, from: "Crystallographic groups and their generalizations (Kortrijk, 1999)", Contemp. Math. 262, Amer. Math. Soc. (2000) 135 MR1796129
24 W M Goldman, G A Margulis, Y Minsky, Complete flat Lorentz 3–manifolds and laminations of hyperbolic surfaces, in preparation
25 C Jones, Pyramids of properness, PhD thesis, University of Maryland (2003)
26 F Labourie, Fuchsian affine actions of surface groups, J. Differential Geom. 59 (2001) 15 MR1909247
27 G A Margulis, Free completely discontinuous groups of affine transformations, Dokl. Akad. Nauk SSSR 272 (1983) 785 MR722330
28 G A Margulis, Complete affine locally flat manifolds with a free fundamental group, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 134 (1984) 190 MR741860
29 G Mess, Lorentz spacetimes of constant curvature, Geom. Dedicata 126 (2007) 3 MR2328921
30 J Milnor, On fundamental groups of complete affinely flat manifolds, Advances in Math. 25 (1977) 178 MR0454886
31 J G Ratcliffe, Foundations of hyperbolic manifolds, Graduate Texts in Mathematics 149, Springer (2006) MR2249478