Algebraic & Geometric Topology Volume 23, issue 4 (2023)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

The Heisenberg plane

Steve Trettel

Algebraic & Geometric Topology 23 (2023) 1463–1500

DOI: 10.2140/agt.2023.23.1463

Bibliography

1	S A Ballas, D Cooper, A Leitner, Generalized cusps in real projective manifolds: classification, J. Topol. 13 (2020) 1455 MR4125754
2	O Baues, The deformation of flat affine structures on the two-torus, from: "Handbook of Teichmüller theory, IV" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 19, Eur. Math. Soc. (2014) 461 MR3289710
3	O Baues, W M Goldman, Is the deformation space of complete affine structures on the 2–torus smooth ?, from: "Geometry and dynamics" (editors J Eells, E Ghys, M Lyubich, J Palis, J Seade), Contemp. Math. 389, Amer. Math. Soc. (2005) 69 MR2181958
4	J P Benzécri, Sur les variétés localement affines et localement projectives, Bull. Soc. Math. France 88 (1960) 229 MR124005
5	M Boileau, B Leeb, J Porti, Geometrization of 3–dimensional orbifolds, Ann. of Math. 162 (2005) 195 MR2178962
6	C Chabauty, Limite d’ensembles et géométrie des nombres, Bull. Soc. Math. France 78 (1950) 143 MR38983
7	D Cooper, J Danciger, A Wienhard, Limits of geometries, Trans. Amer. Math. Soc. 370 (2018) 6585 MR3814342
8	D Cooper, C D Hodgson, S P Kerckhoff, Three-dimensional orbifolds and cone-manifolds, 5, Math. Soc. Japan (2000) MR1778789
9	J Danciger, Geometric transitions : from hyperbolic to AdS geometry, PhD thesis, Stanford University (2011) MR4172323
10	J Danciger, A geometric transition from hyperbolic to anti-de Sitter geometry, Geom. Topol. 17 (2013) 3077 MR3190306
11	J Danciger, Ideal triangulations and geometric transitions, J. Topol. 7 (2014) 1118 MR3286899
12	J Danciger, F Guéritaud, F Kassel, Geometry and topology of complete Lorentz spacetimes of constant curvature, Ann. Sci. Éc. Norm. Supér. 49 (2016) 1 MR3465975
13	F Fillastre, A Seppi, Spherical, hyperbolic, and other projective geometries: convexity, duality, transitions, from: "Eighteen essays in non-Euclidean geometry" (editors V Alberge, A Papadopoulos), IRMA Lect. Math. Theor. Phys. 29, Eur. Math. Soc. (2019) 321 MR3965127
14	W M Goldman, Geometric structures on manifolds and varieties of representations, from: "Geometry of group representations" (editors W M Goldman, A R Magid), Contemp. Math. 74, Amer. Math. Soc. (1988) 169 MR957518
15	W M Goldman, Locally homogeneous geometric manifolds, from: "Proceedings of the International Congress of Mathematicians, II" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan (2010) 717 MR2827816
16	M Heusener, J Porti, E Suárez, Regenerating singular hyperbolic structures from Sol, J. Differential Geom. 59 (2001) 439 MR1916952
17	C D Hodgson, Degeneration and regeneration of geometric structures on three-manifolds, PhD thesis, Princeton University (1986) MR2635124
18	A Leitner, A classification of subgroups of SL(4, ℝ) isomorphic to ℝ³ and generalized cusps in projective 3 manifolds, Topology Appl. 206 (2016) 241 MR3494445
19	T Nagano, K Yagi, The affine structures on the real two-torus, I, Osaka Math. J. 11 (1974) 181 MR377917
20	J Porti, Regenerating hyperbolic and spherical cone structures from Euclidean ones, Topology 37 (1998) 365 MR1489209
21	J Porti, Regenerating hyperbolic cone structures from Nil, Geom. Topol. 6 (2002) 815 MR1943382
22	J Porti, Regenerating hyperbolic cone 3–manifolds from dimension 2, Ann. Inst. Fourier (Grenoble) 63 (2013) 1971 MR3186514
23	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)