Geometry & Topology Volume 20, issue 1 (2016)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Hyperbolic structures from Sol on pseudo-Anosov mapping tori

Kenji Kozai

Geometry & Topology 20 (2016) 437–468

DOI: 10.2140/gt.2016.20.437

Bibliography

1	H Abbaspour, M Moskowitz, Basic Lie theory, World Scientific (2007) MR2364699
2	L B Abdelghani, D Lines, Involutions on knot groups and varieties of representations in a Lie group, J. Knot Theory Ramifications 11 (2002) 81 MR1885749
3	F Bonahon, Geometric structures on 3–manifolds, from: "Handbook of geometric topology" (editors R J Daverman, R B Sher), North-Holland (2002) 93 MR1886669
4	J Danciger, A geometric transition from hyperbolic to anti-de Sitter geometry, Geom. Topol. 17 (2013) 3077 MR3190306
5	C Ehresmann, Sur les espaces localement homogenes, Enseign. Math. 35 (1936) 317
6	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
7	A Fathi, F Laudenbach, V Poénaru, Thurston’s work on surfaces, 48, Princeton Univ. Press (2012) MR3053012
8	C D Frohman, E P Klassen, Deforming representations of knot groups in SU(2), Comment. Math. Helv. 66 (1991) 340 MR1120651
9	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
10	M Heusener, J Kroll, Deforming abelian SU(2)–representations of knot groups, Comment. Math. Helv. 73 (1998) 480 MR1633375
11	M Heusener, J Porti, Deformations of reducible representations of 3–manifold groups into PSL₂(ℂ), Algebr. Geom. Topol. 5 (2005) 965 MR2171800
12	M Heusener, J Porti, E Suárez, Regenerating singular hyperbolic structures from Sol, J. Differential Geom. 59 (2001) 439 MR1916952
13	M Heusener, J Porti, E Suárez Peiró, Deformations of reducible representations of 3-manifold groups into SL₂(C), J. Reine Angew. Math. 530 (2001) 191 MR1807271
14	C D Hodgson, Degeneration and regeneration of geometric structures on 3–manifolds, PhD thesis, Princeton University (1986)
15	C D Hodgson, S P Kerckhoff, Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery, J. Differential Geom. 48 (1998) 1 MR1622600
16	A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, 336, Amer. Math. Soc. (1985) MR818915
17	C T McMullen, Billiards and Teichmüller curves on Hilbert modular surfaces, J. Amer. Math. Soc. 16 (2003) 857 MR1992827
18	R C Penner, A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988) 179 MR930079
19	R C Penner, Bounds on least dilatations, Proc. Amer. Math. Soc. 113 (1991) 443 MR1068128
20	J Porti, Torsion de Reidemeister pour les variétés hyperboliques, 612, Amer. Math. Soc. (1997) MR1396960
21	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
22	W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle, preprint (1998) arXiv:math/9801045
23	A Weil, Remarks on the cohomology of groups, Ann. of Math. 80 (1964) 149 MR0169956