Volume 5, issue 3 (2005)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
Deformations of reducible representations of 3–manifold groups into $\mathrm{PSL}_2(\mathbb{C})$

Michael Heusener and Joan Porti

Algebraic & Geometric Topology 5 (2005) 965–997
Bibliography
1 M Artin, On the solutions of analytic equations, Invent. Math. 5 (1968) 277 MR0232018
2 L Ben Abdelghani, Espace des représentations du groupe d'un n\oeud dans un groupe de Lie, thesis, Université de Bourgogne (1998)
3 L Ben Abdelghani, Espace des représentations du groupe d'un n\oe ud classique dans un groupe de Lie, Ann. Inst. Fourier (Grenoble) 50 (2000) 1297 MR1799747
4 L Ben Abdelghani, Variété des caractères et slice étale de l'espace des représentations d'un groupe, Ann. Fac. Sci. Toulouse Math. $(6)$ 11 (2002) 19 MR1986380
5 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
6 R C Blanchfield, Intersection theory of manifolds with operators with applications to knot theory, Ann. of Math. $(2)$ 65 (1957) 340 MR0085512
7 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
8 G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (2003) MR1959408
9 C D Frohman, E P Klassen, Deforming representations of knot groups in $\mathrm{SU}(2)$, Comment. Math. Helv. 66 (1991) 340 MR1120651
10 C M Gordon, Some aspects of classical knot theory, from: "Knot theory (Proc. Sem., Plans-sur–Bex, 1977)", Lecture Notes in Math. 685, Springer (1978) 1 MR521730
11 C M Herald, Existence of irreducible representations for knot complements with nonconstant equivariant signature, Math. Ann. 309 (1997) 21 MR1467643
12 M Heusener, J Kroll, Deforming abelian $\mathrm{SU}(2)$–representations of knot groups, Comment. Math. Helv. 73 (1998) 480 MR1633375
13 M Heusener, J Porti, The variety of characters in $\mathrm{PSL}_2(\mathbb C)$, Bol. Soc. Mat. Mexicana $(3)$ 10 (2004) 221 MR2199350
14 M Heusener, J Porti, E Suárez Peiró, Deformations of reducible representations of 3–manifold groups into $\mathrm{SL}_2(\mathbb{C})$, J. Reine Angew. Math. 530 (2001) 191 MR1807271
15 M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Mathematics 183, Birkhäuser (2001) MR1792613
16 A Kawauchi, A survey of knot theory, Birkhäuser Verlag (1996) MR1417494
17 J Levine, Knot modules I, Trans. Amer. Math. Soc. 229 (1977) 1 MR0461518
18 A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, Mem. Amer. Math. Soc. 58 (1985) MR818915
19 J Milnor, A duality theorem for Reidemeister torsion, Ann. of Math. $(2)$ 76 (1962) 137 MR0141115
20 J W Morgan, P B Shalen, Valuations, trees, and degenerations of hyperbolic structures. I, Ann. of Math. $(2)$ 120 (1984) 401 MR769158
21 M S Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 68, Springer (1972) MR0507234
22 I R Shafarevich, Basic algebraic geometry, Die Grundlehren der mathematischen Wissenschaften 213, Springer (1974) MR0366917
23 D J Shors, Deforming reducible representations of knot groups in $\mathrm{SL}_2(\mathbb{C})$, PhD thesis, University of California, Los Angeles (1991)
24 V Turaev, Torsions of 3–dimensional manifolds, Progress in Mathematics 208, Birkhäuser Verlag (2002) MR1958479
25 C A Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Mathematics 38, Cambridge University Press (1994) MR1269324
26 A Weil, Remarks on the cohomology of groups, Ann. of Math. $(2)$ 80 (1964) 149 MR0169956
27 G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508