Algebraic & Geometric Topology Volume 22, issue 3 (2022)

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Geometric limits of cyclic subgroups of

{S O}_{0} (1, k + 1)

$\mathsf{SO}_0(1, k+1)$ and

S U (1, k + 1)

$\mathsf{SU}(1, k+1)$

Sara Maloni and Maria Beatrice Pozzetti

Algebraic & Geometric Topology 22 (2022) 1461–1495

DOI: 10.2140/agt.2022.22.1461

Bibliography

1	M Abert, N Bergeron, I Biringer, T Gelander, N Nikolov, J Raimbault, I Samet, On the growth of L²–invariants for sequences of lattices in Lie groups, Ann. of Math. 185 (2017) 711 MR3664810
2	J W Anderson, R D Canary, Algebraic limits of Kleinian groups which rearrange the pages of a book, Invent. Math. 126 (1996) 205 MR1411128
3	J W Anderson, R D Canary, D McCullough, The topology of deformation spaces of Kleinian groups, Ann. of Math. 152 (2000) 693 MR1815699
4	R Benedetti, C Petronio, Lectures on hyperbolic geometry, Springer (1992) MR1219310
5	I Biringer, Metrizing the Chabauty topology, Geom. Dedicata 195 (2018) 19 MR3820493
6	J F Brock, Iteration of mapping classes on a Bers slice : examples of algebraic and geometric limits of hyperbolic 3–manifolds, from: "Lipa’s legacy" (editors J Dodziuk, L Keen), Contemp. Math. 211, Amer. Math. Soc. (1997) 81 MR1476982
7	J F Brock, Boundaries of Teichmüller spaces and end-invariants for hyperbolic 3–manifolds, Duke Math. J. 106 (2001) 527 MR1813235
8	J F Brock, Iteration of mapping classes and limits of hyperbolic 3–manifolds, Invent. Math. 143 (2001) 523 MR1817644
9	J F Brock, K Bromberg, R D Canary, C Lecuire, Y N Minsky, Local topology in deformation spaces of hyperbolic 3–manifolds, II, Groups Geom. Dyn. 13 (2019) 767 MR4002217
10	J F Brock, K W Bromberg, R D Canary, Y N Minsky, Local topology in deformation spaces of hyperbolic 3–manifolds, Geom. Topol. 15 (2011) 1169 MR2831259
11	K Bromberg, The space of Kleinian punctured torus groups is not locally connected, Duke Math. J. 156 (2011) 387 MR2772066
12	K Bromberg, J Holt, Self-bumping of deformation spaces of hyperbolic 3–manifolds, J. Differential Geom. 57 (2001) 47 MR1871491
13	R D Canary, D B A Epstein, P Green, Notes on notes of Thurston, from: "Analytical and geometric aspects of hyperbolic space" (editor D B A Epstein), Lond. Math. Soc. Lect. Note Ser. 111, Cambridge Univ. Press (1987) 3 MR903850
14	C Chabauty, Limite d’ensembles et géométrie des nombres, Bull. Soc. Math. France 78 (1950) 143 MR38983
15	S S Chen, L Greenberg, Hyperbolic spaces, from: "Contributions to analysis" (editors L V Ahlfors, I Kra, B Maskit, L Nirenberg), Academic (1974) 49 MR0377765
16	T Jørgensen, On cyclic groups of Möbius transformations, Math. Scand. 33 (1973) 250 MR348103
17	M Kapovich, Hyperbolic manifolds and discrete groups, 183, Birkhäuser (2001) MR1792613
18	S P Kerckhoff, W P Thurston, Noncontinuity of the action of the modular group at Bers’ boundary of Teichmüller space, Invent. Math. 100 (1990) 25 MR1037141
19	A D Magid, Deformation spaces of Kleinian surface groups are not locally connected, PhD thesis, University of Michigan (2009) MR2713881
20	S Maloni, M B Pozzetti, Geometric limits of Anosov representations, in preparation
21	C T McMullen, Complex earthquakes and Teichmüller theory, J. Amer. Math. Soc. 11 (1998) 283 MR1478844
22	W Thurston, Geometry and topology of three-manifolds, lecture notes (1980)
23	W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle, preprint (1998) arXiv:math/9801045